257051311 has 12 divisors (see below), whose sum is σ = 286533072. Its totient is φ = 230384000.

The previous prime is 257051279. The next prime is 257051351. The reversal of 257051311 is 113150752.

It is not a de Polignac number, because 257051311 - 2⁵ = 257051279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257051351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6370 + ... + 23551.

It is an arithmetic number, because the mean of its divisors is an integer number (23877756).

Almost surely, 2^257051311 is an apocalyptic number.

257051311 is a deficient number, since it is larger than the sum of its proper divisors (29481761).

257051311 is a wasteful number, since it uses less digits than its factorization.

257051311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30014 (or 30003 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 257051311 is about 16032.8198081311. The cubic root of 257051311 is about 635.8284275073.

The spelling of 257051311 in words is "two hundred fifty-seven million, fifty-one thousand, three hundred eleven".