125564404465521 has 128 divisors (see below), whose sum is σ = 218438083584000. Its totient is φ = 69807981116160.

The previous prime is 125564404465519. The next prime is 125564404465637.

125564404465521 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 6 + 4 + 40 + 4 + 46 + 552 + 1 = 666.

125564404465521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 125564404465521 - 2¹ = 125564404465519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125564404465021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 976718155 + ... + 976846703.

It is an arithmetic number, because the mean of its divisors is an integer number (1706547528000).

Almost surely, 2^{125564404465521} is an apocalyptic number.

It is an amenable number.

125564404465521 is a deficient number, since it is larger than the sum of its proper divisors (92873679118479).

125564404465521 is a wasteful number, since it uses less digits than its factorization.

125564404465521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129596 (or 129590 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 54.

The spelling of 125564404465521 in words is "one hundred twenty-five trillion, five hundred sixty-four billion, four hundred four million, four hundred sixty-five thousand, five hundred twenty-one".