513653416704 has 108 divisors (see below), whose sum is σ = 1545380434416. Its totient is φ = 163773536256.

The previous prime is 513653416651. The next prime is 513653416709. The reversal of 513653416704 is 407614356315.

513653416704 is a `hidden beast` number, since 5 + 1 + 36 + 534 + 16 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 513653416704.

It is not an unprimeable number, because it can be changed into a prime (513653416709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4793527 + ... + 4899510.

Almost surely, 2^513653416704 is an apocalyptic number.

It is an amenable number.

513653416704 is an abundant number, since it is smaller than the sum of its proper divisors (1031727017712).

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

513653416704 is a wasteful number, since it uses less digits than its factorization.

513653416704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9693082 (or 9693065 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 513653416704 in words is "five hundred thirteen billion, six hundred fifty-three million, four hundred sixteen thousand, seven hundred four".