257123313 has 12 divisors (see below), whose sum is σ = 371591220. Its totient is φ = 171327456.

The previous prime is 257123303. The next prime is 257123327. The reversal of 257123313 is 313321752.

It can be written as a sum of positive squares in 2 ways, for example, as 175907169 + 81216144 = 13263^2 + 9012^2 .

It is not a de Polignac number, because 257123313 - 2¹² = 257119217 is a prime.

It is a super-2 number, since 2×257123313² = 132224796176191938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257123303) 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 11 ways as a sum of consecutive naturals, for example, 14595 + ... + 26967.

It is an arithmetic number, because the mean of its divisors is an integer number (30965935).

Almost surely, 2^257123313 is an apocalyptic number.

It is an amenable number.

257123313 is a deficient number, since it is larger than the sum of its proper divisors (114467907).

257123313 is a wasteful number, since it uses less digits than its factorization.

257123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14688 (or 14685 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 257123313 is about 16035.0651074450. The cubic root of 257123313 is about 635.8877887355.

The spelling of 257123313 in words is "two hundred fifty-seven million, one hundred twenty-three thousand, three hundred thirteen".