752425524257 has 12 divisors (see below), whose sum is σ = 850108277616. Its totient is φ = 660436188720.

The previous prime is 752425524241. The next prime is 752425524259.

752425524257 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 752425524257 - 2⁴ = 752425524241 is a prime.

It is a super-2 number, since 2×752425524257² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (752425524259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40658003 + ... + 40676504.

It is an arithmetic number, because the mean of its divisors is an integer number (70842356468).

Almost surely, 2^752425524257 is an apocalyptic number.

It is an amenable number.

752425524257 is a deficient number, since it is larger than the sum of its proper divisors (97682753359).

752425524257 is a wasteful number, since it uses less digits than its factorization.

752425524257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81334576 (or 81334547 counting only the distinct ones).

The product of its digits is 7840000, while the sum is 50.

The spelling of 752425524257 in words is "seven hundred fifty-two billion, four hundred twenty-five million, five hundred twenty-four thousand, two hundred fifty-seven".