513310513 has 8 divisors (see below), whose sum is σ = 518760000. Its totient is φ = 507888048.

The previous prime is 513310477. The next prime is 513310537. The reversal of 513310513 is 315013315.

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 513310513 - 2⁹ = 513310001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513310013) 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 7 ways as a sum of consecutive naturals, for example, 32638 + ... + 45736.

It is an arithmetic number, because the mean of its divisors is an integer number (64845000).

Almost surely, 2^513310513 is an apocalyptic number.

It is an amenable number.

513310513 is a deficient number, since it is larger than the sum of its proper divisors (5449487).

513310513 is a wasteful number, since it uses less digits than its factorization.

513310513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13511.

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 513310513 is about 22656.3570107818. The cubic root of 513310513 is about 800.6819773226.

Adding to 513310513 its reverse (315013315), we get a palindrome (828323828).

The spelling of 513310513 in words is "five hundred thirteen million, three hundred ten thousand, five hundred thirteen".