257437952912 has 20 divisors (see below), whose sum is σ = 570041181696. Its totient is φ = 110330551200.

The previous prime is 257437952909. The next prime is 257437952953. The reversal of 257437952912 is 219259734752.

257437952912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257437952912² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1149276464 + ... + 1149276687.

Almost surely, 2^257437952912 is an apocalyptic number.

It is an amenable number.

257437952912 is an abundant number, since it is smaller than the sum of its proper divisors (312603228784).

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

257437952912 is a wasteful number, since it uses less digits than its factorization.

257437952912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298553166 (or 2298553160 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 56.

The spelling of 257437952912 in words is "two hundred fifty-seven billion, four hundred thirty-seven million, nine hundred fifty-two thousand, nine hundred twelve".