125640046521 has 96 divisors (see below), whose sum is σ = 209186220672. Its totient is φ = 71972167680.

The previous prime is 125640046501. The next prime is 125640046529.

125640046521 is a `hidden beast` number, since 1 + 2 + 5 + 640 + 0 + 4 + 6 + 5 + 2 + 1 = 666.

125640046521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 125640046521 - 2⁵ = 125640046489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125640046529) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30397171 + ... + 30401303.

It is an arithmetic number, because the mean of its divisors is an integer number (2179023132).

Almost surely, 2^125640046521 is an apocalyptic number.

125640046521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125640046521 is a deficient number, since it is larger than the sum of its proper divisors (83546174151).

125640046521 is a wasteful number, since it uses less digits than its factorization.

125640046521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 125640046521 in words is "one hundred twenty-five billion, six hundred forty million, forty-six thousand, five hundred twenty-one".