513507481344 has 648 divisors, whose sum is σ = 1848088870992. Its totient is φ = 135164067840.

The previous prime is 513507481243. The next prime is 513507481363. The reversal of 513507481344 is 443184705315.

513507481344 is a `hidden beast` number, since 5 + 1 + 3 + 507 + 4 + 8 + 134 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 513507481344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95214712 + ... + 95220104.

Almost surely, 2^513507481344 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 513507481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924044435496).

513507481344 is an abundant number, since it is smaller than the sum of its proper divisors (1334581389648).

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

513507481344 is a wasteful number, since it uses less digits than its factorization.

513507481344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 513507481344 in words is "five hundred thirteen billion, five hundred seven million, four hundred eighty-one thousand, three hundred forty-four".