513503406613968 has 80 divisors (see below), whose sum is σ = 1358912089184832. Its totient is φ = 166992150400000.

The previous prime is 513503406613943. The next prime is 513503406613973. The reversal of 513503406613968 is 869316604305315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492071143 + ... + 493113593.

Almost surely, 2^{513503406613968} is an apocalyptic number.

It is an amenable number.

513503406613968 is an abundant number, since it is smaller than the sum of its proper divisors (845408682570864).

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

513503406613968 is a wasteful number, since it uses less digits than its factorization.

513503406613968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292804 (or 1292798 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 60.

The spelling of 513503406613968 in words is "five hundred thirteen trillion, five hundred three billion, four hundred six million, six hundred thirteen thousand, nine hundred sixty-eight".