257564967 has 16 divisors (see below), whose sum is σ = 375323520. Its totient is φ = 155815200.

The previous prime is 257564959. The next prime is 257564981. The reversal of 257564967 is 769465752.

257564967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257564967 - 2³ = 257564959 is a prime.

It is a super-2 number, since 2×257564967² = 132679424451422178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257564917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12009 + ... + 25677.

It is an arithmetic number, because the mean of its divisors is an integer number (23457720).

Almost surely, 2^257564967 is an apocalyptic number.

257564967 is a deficient number, since it is larger than the sum of its proper divisors (117758553).

257564967 is a wasteful number, since it uses less digits than its factorization.

257564967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14254.

The product of its digits is 3175200, while the sum is 51.

The square root of 257564967 is about 16048.8307050701. The cubic root of 257564967 is about 636.2516630920.

The spelling of 257564967 in words is "two hundred fifty-seven million, five hundred sixty-four thousand, nine hundred sixty-seven".