513713137 has 8 divisors (see below), whose sum is σ = 587329472. Its totient is φ = 440154000.

The previous prime is 513713113. The next prime is 513713159. The reversal of 513713137 is 731317315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513713137 - 2¹¹ = 513711089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513713099 and 513713108.

It is not an unprimeable number, because it can be changed into a prime (513713107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7087 + ... + 32827.

It is an arithmetic number, because the mean of its divisors is an integer number (73416184).

Almost surely, 2^513713137 is an apocalyptic number.

It is an amenable number.

513713137 is a deficient number, since it is larger than the sum of its proper divisors (73616335).

513713137 is a wasteful number, since it uses less digits than its factorization.

513713137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28599.

The product of its digits is 6615, while the sum is 31.

The square root of 513713137 is about 22665.2407223043. The cubic root of 513713137 is about 800.8912655426.

The spelling of 513713137 in words is "five hundred thirteen million, seven hundred thirteen thousand, one hundred thirty-seven".