513657013 has 4 divisors (see below), whose sum is σ = 518742828. Its totient is φ = 508571200.

The previous prime is 513656993. The next prime is 513657047. The reversal of 513657013 is 310756315.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 413796964 + 99860049 = 20342^2 + 9993^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513657013 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513657113) 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 3 ways as a sum of consecutive naturals, for example, 2542756 + ... + 2542957.

It is an arithmetic number, because the mean of its divisors is an integer number (129685707).

Almost surely, 2^513657013 is an apocalyptic number.

It is an amenable number.

513657013 is a deficient number, since it is larger than the sum of its proper divisors (5085815).

513657013 is a wasteful number, since it uses less digits than its factorization.

513657013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085814.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 513657013 is about 22664.0025811859. The cubic root of 513657013 is about 800.8620982537.

The spelling of 513657013 in words is "five hundred thirteen million, six hundred fifty-seven thousand, thirteen".