752652256257 has 32 divisors (see below), whose sum is σ = 1221140914560. Its totient is φ = 454377922560.

The previous prime is 752652256253. The next prime is 752652256283.

752652256257 is a `hidden beast` number, since 7 + 5 + 2 + 6 + 5 + 2 + 2 + 5 + 625 + 7 = 666.

752652256257 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 752652256257 - 2² = 752652256253 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (752652256253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4853988 + ... + 5006645.

It is an arithmetic number, because the mean of its divisors is an integer number (38160653580).

Almost surely, 2^752652256257 is an apocalyptic number.

It is an amenable number.

752652256257 is a deficient number, since it is larger than the sum of its proper divisors (468488658303).

752652256257 is a wasteful number, since it uses less digits than its factorization.

752652256257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9860910 (or 9860904 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 54.

The spelling of 752652256257 in words is "seven hundred fifty-two billion, six hundred fifty-two million, two hundred fifty-six thousand, two hundred fifty-seven".