513311513 has 32 divisors (see below), whose sum is σ = 639273600. Its totient is φ = 405619200.

The previous prime is 513311509. The next prime is 513311551. The reversal of 513311513 is 315113315.

It is a cyclic number.

It is not a de Polignac number, because 513311513 - 2² = 513311509 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513311503) 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 31 ways as a sum of consecutive naturals, for example, 168518 + ... + 171536.

It is an arithmetic number, because the mean of its divisors is an integer number (19977300).

Almost surely, 2^513311513 is an apocalyptic number.

It is an amenable number.

513311513 is a deficient number, since it is larger than the sum of its proper divisors (125962087).

513311513 is a wasteful number, since it uses less digits than its factorization.

513311513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113.

The product of its digits is 675, while the sum is 23.

The square root of 513311513 is about 22656.3790796323. The cubic root of 513311513 is about 800.6824972688.

Adding to 513311513 its reverse (315113315), we get a palindrome (828424828).

The spelling of 513311513 in words is "five hundred thirteen million, three hundred eleven thousand, five hundred thirteen".