513197962272 has 90 divisors (see below), whose sum is σ = 1509408222399. Its totient is φ = 171053830080.

The previous prime is 513197962237. The next prime is 513197962283. The reversal of 513197962272 is 272269791315.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

513197962272 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 9 + 7 + 9 + 622 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 256598981136 + 256598981136 = 506556^2 + 506556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=506556.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36464997 + ... + 36479067.

Almost surely, 2^513197962272 is an apocalyptic number.

It is an amenable number.

513197962272 is an abundant number, since it is smaller than the sum of its proper divisors (996210260127).

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

513197962272 is an frugal number, since it uses more digits than its factorization.

513197962272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28164 (or 14076 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 513197962272 in words is "five hundred thirteen billion, one hundred ninety-seven million, nine hundred sixty-two thousand, two hundred seventy-two".