513657 has 6 divisors (see below), whose sum is σ = 741962. Its totient is φ = 342432.

The previous prime is 513649. The next prime is 513673. The reversal of 513657 is 756315.

513657 is a `hidden beast` number, since 5 + 1 + 3 + 657 = 666.

It can be written as a sum of positive squares in only one way, i.e., 484416 + 29241 = 696^2 + 171^2 .

It is not a de Polignac number, because 513657 - 2³ = 513649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513657.

It is not an unprimeable number, because it can be changed into a prime (513697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28528 + ... + 28545.

2⁵¹³⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

513657 is a deficient number, since it is larger than the sum of its proper divisors (228305).

513657 is a wasteful number, since it uses less digits than its factorization.

513657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57079 (or 57076 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 513657 is about 716.6986814555. The cubic root of 513657 is about 80.0862091497.

The spelling of 513657 in words is "five hundred thirteen thousand, six hundred fifty-seven".