513853358315 has 32 divisors (see below), whose sum is σ = 673659999936. Its totient is φ = 373168028160.

The previous prime is 513853358279. The next prime is 513853358321.

513853358315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513853358315 - 2⁸ = 513853358059 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 183714497 + ... + 183717293.

It is an arithmetic number, because the mean of its divisors is an integer number (21051874998).

Almost surely, 2^513853358315 is an apocalyptic number.

513853358315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513853358315 is a deficient number, since it is larger than the sum of its proper divisors (159806641621).

513853358315 is a wasteful number, since it uses less digits than its factorization.

513853358315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479.

The product of its digits is 3240000, while the sum is 50.

The spelling of 513853358315 in words is "five hundred thirteen billion, eight hundred fifty-three million, three hundred fifty-eight thousand, three hundred fifteen".