257058513 has 12 divisors (see below), whose sum is σ = 393148548. Its totient is φ = 161291520.

The previous prime is 257058497. The next prime is 257058521. The reversal of 257058513 is 315850752.

257058513 is a `hidden beast` number, since 2 + 5 + 70 + 585 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 202549824 + 54508689 = 14232^2 + 7383^2 .

It is not a de Polignac number, because 257058513 - 2⁴ = 257058497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257058563) 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, 839908 + ... + 840213.

It is an arithmetic number, because the mean of its divisors is an integer number (32762379).

Almost surely, 2^257058513 is an apocalyptic number.

It is an amenable number.

257058513 is a deficient number, since it is larger than the sum of its proper divisors (136090035).

257058513 is a wasteful number, since it uses less digits than its factorization.

257058513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680144 (or 1680141 counting only the distinct ones).

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

The square root of 257058513 is about 16033.0444083462. The cubic root of 257058513 is about 635.8343656130.

The spelling of 257058513 in words is "two hundred fifty-seven million, fifty-eight thousand, five hundred thirteen".