257079081 has 32 divisors (see below), whose sum is σ = 398407680. Its totient is φ = 144422784.

The previous prime is 257079029. The next prime is 257079091. The reversal of 257079081 is 180970752.

It is not a de Polignac number, because 257079081 - 2⁷ = 257078953 is a prime.

It is a super-2 number, since 2×257079081² = 132179307775609122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257079091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491286 + ... + 491808.

It is an arithmetic number, because the mean of its divisors is an integer number (12450240).

Almost surely, 2^257079081 is an apocalyptic number.

257079081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

257079081 is a deficient number, since it is larger than the sum of its proper divisors (141328599).

257079081 is a wasteful number, since it uses less digits than its factorization.

257079081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885.

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 257079081 is about 16033.6858207962. The cubic root of 257079081 is about 635.8513234803.

Subtracting from 257079081 its product of nonzero digits (35280), we obtain a triangular number (257043801 = T₂₂₆₇₃).

The spelling of 257079081 in words is "two hundred fifty-seven million, seventy-nine thousand, eighty-one".