513565475676 has 96 divisors (see below), whose sum is σ = 1316843566080. Its totient is φ = 154488902400.

The previous prime is 513565475639. The next prime is 513565475711. The reversal of 513565475676 is 676574565315.

It is a super-2 number, since 2×513565475676² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9882930 + ... + 9934758.

It is an arithmetic number, because the mean of its divisors is an integer number (13717120480).

Almost surely, 2^513565475676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513565475676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658421783040).

513565475676 is an abundant number, since it is smaller than the sum of its proper divisors (803278090404).

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

513565475676 is a wasteful number, since it uses less digits than its factorization.

513565475676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52395 (or 52393 counting only the distinct ones).

The product of its digits is 79380000, while the sum is 60.

The spelling of 513565475676 in words is "five hundred thirteen billion, five hundred sixty-five million, four hundred seventy-five thousand, six hundred seventy-six".