257497794752 has 56 divisors (see below), whose sum is σ = 559327123152. Its totient is φ = 116644889600.

The previous prime is 257497794737. The next prime is 257497794781.

257497794752 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×257497794752² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417899 + ... + 830442.

It is an arithmetic number, because the mean of its divisors is an integer number (9987984342).

Almost surely, 2^257497794752 is an apocalyptic number.

257497794752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257497794752 is an abundant number, since it is smaller than the sum of its proper divisors (301829328400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257497794752 is a wasteful number, since it uses less digits than its factorization.

257497794752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248657 (or 1248647 counting only the distinct ones).

The product of its digits is 311169600, while the sum is 68.

The spelling of 257497794752 in words is "two hundred fifty-seven billion, four hundred ninety-seven million, seven hundred ninety-four thousand, seven hundred fifty-two".