513257347404 has 36 divisors (see below), whose sum is σ = 1315673770320. Its totient is φ = 168676122720.

The previous prime is 513257347397. The next prime is 513257347433. The reversal of 513257347404 is 404743752315.

It is a happy number.

513257347404 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 573 + 4 + 74 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 513257347404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100399899 + ... + 100405010.

It is an arithmetic number, because the mean of its divisors is an integer number (36546493620).

Almost surely, 2^513257347404 is an apocalyptic number.

It is an amenable number.

513257347404 is an abundant number, since it is smaller than the sum of its proper divisors (802416422916).

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

513257347404 is a wasteful number, since it uses less digits than its factorization.

513257347404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200804990 (or 200804985 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 513257347404 in words is "five hundred thirteen billion, two hundred fifty-seven million, three hundred forty-seven thousand, four hundred four".