257313681 has 9 divisors (see below), whose sum is σ = 371744841. Its totient is φ = 171510372.

The previous prime is 257313631. The next prime is 257313689. The reversal of 257313681 is 186313752.

The square root of 257313681 is 16041.

It is a perfect power (a square), and thus also a powerful number.

257313681 is a `hidden beast` number, since 2 + 573 + 1 + 3 + 6 + 81 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 257313681 - 2¹⁵ = 257280913 is a prime.

It is a super-2 number, since 2×257313681² = 132420660859539522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257313689) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45450 + ... + 50796.

Almost surely, 2^257313681 is an apocalyptic number.

257313681 is the 16041-st square number.

257313681 is the 8021-st centered octagonal number.

It is an amenable number.

257313681 is a deficient number, since it is larger than the sum of its proper divisors (114431160).

257313681 is an frugal number, since it uses more digits than its factorization.

257313681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700 (or 5350 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The cubic root of 257313681 is about 636.0446820987.

Multiplying 257313681 by its sum of digits (36), we get a square (9263292516 = 96246²).

The spelling of 257313681 in words is "two hundred fifty-seven million, three hundred thirteen thousand, six hundred eighty-one".