513364137 has 16 divisors (see below), whose sum is σ = 804151488. Its totient is φ = 287196480.

The previous prime is 513364109. The next prime is 513364139. The reversal of 513364137 is 731463315.

It is not a de Polignac number, because 513364137 - 2¹² = 513360041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 513364098 and 513364107.

It is not an unprimeable number, because it can be changed into a prime (513364139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597898 + ... + 598755.

It is an arithmetic number, because the mean of its divisors is an integer number (50259468).

Almost surely, 2^513364137 is an apocalyptic number.

It is an amenable number.

513364137 is a deficient number, since it is larger than the sum of its proper divisors (290787351).

513364137 is a wasteful number, since it uses less digits than its factorization.

513364137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196680.

The product of its digits is 22680, while the sum is 33.

The square root of 513364137 is about 22657.5404004936. The cubic root of 513364137 is about 800.7098579616.

The spelling of 513364137 in words is "five hundred thirteen million, three hundred sixty-four thousand, one hundred thirty-seven".