257608023 has 16 divisors (see below), whose sum is σ = 371329920. Its totient is φ = 158301216.

The previous prime is 257607991. The next prime is 257608031. The reversal of 257608023 is 320806752.

It is not a de Polignac number, because 257608023 - 2⁵ = 257607991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257608223) 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 15 ways as a sum of consecutive naturals, for example, 58965 + ... + 63182.

It is an arithmetic number, because the mean of its divisors is an integer number (23208120).

Almost surely, 2^257608023 is an apocalyptic number.

257608023 is a deficient number, since it is larger than the sum of its proper divisors (113721897).

257608023 is a wasteful number, since it uses less digits than its factorization.

257608023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122206.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 257608023 is about 16050.1720551526. The cubic root of 257608023 is about 636.2871142452.

The spelling of 257608023 in words is "two hundred fifty-seven million, six hundred eight thousand, twenty-three".