257513085 has 12 divisors (see below), whose sum is σ = 446356092. Its totient is φ = 137340288.

The previous prime is 257513077. The next prime is 257513131. The reversal of 257513085 is 580315752.

257513085 is a `hidden beast` number, since 2 + 575 + 1 + 3 + 0 + 85 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43797924 + 213715161 = 6618^2 + 14619^2 .

It is not a de Polignac number, because 257513085 - 2³ = 257513077 is a prime.

It is a super-3 number, since 3×257513085³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2861212 + ... + 2861301.

It is an arithmetic number, because the mean of its divisors is an integer number (37196341).

Almost surely, 2^257513085 is an apocalyptic number.

It is an amenable number.

257513085 is a deficient number, since it is larger than the sum of its proper divisors (188843007).

257513085 is a wasteful number, since it uses less digits than its factorization.

257513085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5722524 (or 5722521 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 257513085 is about 16047.2142442232. The cubic root of 257513085 is about 636.2089395987.

The spelling of 257513085 in words is "two hundred fifty-seven million, five hundred thirteen thousand, eighty-five".