diff --git a/Eigen/src/Core/MathFunctions.h b/Eigen/src/Core/MathFunctions.h
index 29e00ff8e..f907d1e9b 100644
--- a/Eigen/src/Core/MathFunctions.h
+++ b/Eigen/src/Core/MathFunctions.h
@@ -657,7 +657,6 @@ template <typename BitsType>
 struct count_bits_impl<
     BitsType, std::enable_if_t<std::is_integral<BitsType>::value && sizeof(BitsType) <= sizeof(unsigned int)>> {
   static constexpr int kNumBits = static_cast<int>(sizeof(BitsType) * CHAR_BIT);
-  static_assert(std::is_integral<BitsType>::value, "BitsType must be a built-in integer");
   static EIGEN_DEVICE_FUNC inline int clz(BitsType bits) {
     static constexpr int kLeadingBitsOffset = (sizeof(unsigned int) - sizeof(BitsType)) * CHAR_BIT;
     return bits == 0 ? kNumBits : __builtin_clz(static_cast<unsigned int>(bits)) - kLeadingBitsOffset;
@@ -673,7 +672,6 @@ struct count_bits_impl<BitsType,
                        std::enable_if_t<std::is_integral<BitsType>::value && sizeof(unsigned int) < sizeof(BitsType) &&
                                         sizeof(BitsType) <= sizeof(unsigned long)>> {
   static constexpr int kNumBits = static_cast<int>(sizeof(BitsType) * CHAR_BIT);
-  static_assert(std::is_integral<BitsType>::value, "BitsType must be a built-in integer");
   static EIGEN_DEVICE_FUNC inline int clz(BitsType bits) {
     static constexpr int kLeadingBitsOffset = (sizeof(unsigned long) - sizeof(BitsType)) * CHAR_BIT;
     return bits == 0 ? kNumBits : __builtin_clzl(static_cast<unsigned long>(bits)) - kLeadingBitsOffset;
@@ -689,7 +687,6 @@ struct count_bits_impl<BitsType,
                        std::enable_if_t<std::is_integral<BitsType>::value && sizeof(unsigned long) < sizeof(BitsType) &&
                                         sizeof(BitsType) <= sizeof(unsigned long long)>> {
   static constexpr int kNumBits = static_cast<int>(sizeof(BitsType) * CHAR_BIT);
-  static_assert(std::is_integral<BitsType>::value, "BitsType must be a built-in integer");
   static EIGEN_DEVICE_FUNC inline int clz(BitsType bits) {
     static constexpr int kLeadingBitsOffset = (sizeof(unsigned long long) - sizeof(BitsType)) * CHAR_BIT;
     return bits == 0 ? kNumBits : __builtin_clzll(static_cast<unsigned long long>(bits)) - kLeadingBitsOffset;
@@ -706,7 +703,6 @@ template <typename BitsType>
 struct count_bits_impl<
     BitsType, std::enable_if_t<std::is_integral<BitsType>::value && sizeof(BitsType) <= sizeof(unsigned long)>> {
   static constexpr int kNumBits = static_cast<int>(sizeof(BitsType) * CHAR_BIT);
-  static_assert(std::is_integral<BitsType>::value, "BitsType must be a built-in integer");
   static EIGEN_DEVICE_FUNC inline int clz(BitsType bits) {
     unsigned long out;
     _BitScanReverse(&out, static_cast<unsigned long>(bits));
@@ -727,7 +723,6 @@ struct count_bits_impl<BitsType,
                        std::enable_if_t<std::is_integral<BitsType>::value && sizeof(unsigned long) < sizeof(BitsType) &&
                                         sizeof(BitsType) <= sizeof(__int64)>> {
   static constexpr int kNumBits = static_cast<int>(sizeof(BitsType) * CHAR_BIT);
-  static_assert(std::is_integral<BitsType>::value, "BitsType must be a built-in integer");
   static EIGEN_DEVICE_FUNC inline int clz(BitsType bits) {
     unsigned long out;
     _BitScanReverse64(&out, static_cast<unsigned __int64>(bits));
diff --git a/Eigen/src/Core/RandomImpl.h b/Eigen/src/Core/RandomImpl.h
index d5cd335fd..445376c7b 100644
--- a/Eigen/src/Core/RandomImpl.h
+++ b/Eigen/src/Core/RandomImpl.h
@@ -139,7 +139,7 @@ struct random_longdouble_impl {
 };
 template <>
 struct random_longdouble_impl<false> {
-  static constexpr EIGEN_DEVICE_FUNC inline int mantissaBits() { return NumTraits<long double>::digits() - 1; }
+  static constexpr EIGEN_DEVICE_FUNC inline int mantissaBits() { return NumTraits<double>::digits() - 1; }
   static EIGEN_DEVICE_FUNC inline long double run(int numRandomBits) {
     return static_cast<long double>(random_float_impl<double>::run(numRandomBits));
   }