513512693604 has 135 divisors (see below), whose sum is σ = 1377382759753. Its totient is φ = 166824014400.

The previous prime is 513512693599. The next prime is 513512693623. The reversal of 513512693604 is 406396215315.

The square root of 513512693604 is 716598.

It is a perfect power (a square), and thus also a powerful number.

513512693604 is a `hidden beast` number, since 5 + 1 + 35 + 1 + 2 + 6 + 9 + 3 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24743919204 + 488768774400 = 157302^2 + 699120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513512693604.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 528848839 + ... + 528849809.

Almost surely, 2^513512693604 is an apocalyptic number.

513512693604 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

513512693604 is the 716598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513512693604

513512693604 is an abundant number, since it is smaller than the sum of its proper divisors (863870066149).

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

513512693604 is an frugal number, since it uses more digits than its factorization.

513512693604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 513512693604 in words is "five hundred thirteen billion, five hundred twelve million, six hundred ninety-three thousand, six hundred four".