513864460032 has 144 divisors (see below), whose sum is σ = 1705095904512. Its totient is φ = 133471272960.

The previous prime is 513864460027. The next prime is 513864460051. The reversal of 513864460032 is 230064468315.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4285633 + ... + 4403904.

Almost surely, 2^513864460032 is an apocalyptic number.

It is an amenable number.

513864460032 is an abundant number, since it is smaller than the sum of its proper divisors (1191231444480).

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

513864460032 is a wasteful number, since it uses less digits than its factorization.

513864460032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8689574 (or 8689560 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 513864460032 in words is "five hundred thirteen billion, eight hundred sixty-four million, four hundred sixty thousand, thirty-two".