513366630161013 has 24 divisors (see below), whose sum is σ = 744104474993880. Its totient is φ = 341057936424960.

The previous prime is 513366630161003. The next prime is 513366630161051. The reversal of 513366630161013 is 310161036663315.

It can be written as a sum of positive squares in 4 ways, for example, as 33471975537009 + 479894654624004 = 5785497^2 + 21906498^2 .

It is not a de Polignac number, because 513366630161013 - 2¹⁸ = 513366629898869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513366630161013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513366630161003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77259756 + ... + 83640917.

It is an arithmetic number, because the mean of its divisors is an integer number (31004353124745).

Almost surely, 2^{513366630161013} is an apocalyptic number.

It is an amenable number.

513366630161013 is a deficient number, since it is larger than the sum of its proper divisors (230737844832867).

513366630161013 is a wasteful number, since it uses less digits than its factorization.

513366630161013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160901909 (or 160901906 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 513366630161013 in words is "five hundred thirteen trillion, three hundred sixty-six billion, six hundred thirty million, one hundred sixty-one thousand, thirteen".