513564131616 has 48 divisors (see below), whose sum is σ = 1351308103488. Its totient is φ = 170781408000.

The previous prime is 513564131593. The next prime is 513564131629. The reversal of 513564131616 is 616131465315.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6313060 + ... + 6393891.

It is an arithmetic number, because the mean of its divisors is an integer number (28152252156).

Almost surely, 2^513564131616 is an apocalyptic number.

It is an amenable number.

513564131616 is an abundant number, since it is smaller than the sum of its proper divisors (837743971872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513564131616 is a wasteful number, since it uses less digits than its factorization.

513564131616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12707385 (or 12707377 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The spelling of 513564131616 in words is "five hundred thirteen billion, five hundred sixty-four million, one hundred thirty-one thousand, six hundred sixteen".