513340056307044 has 72 divisors (see below), whose sum is σ = 1309754340760320. Its totient is φ = 169511888970432.

The previous prime is 513340056307037. The next prime is 513340056307063. The reversal of 513340056307044 is 440703650043315.

513340056307044 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 4 + 0 + 0 + 5 + 630 + 7 + 0 + 4 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 299536062 + ... + 301244970.

It is an arithmetic number, because the mean of its divisors is an integer number (18191032510560).

Almost surely, 2^{513340056307044} is an apocalyptic number.

It is an amenable number.

513340056307044 is an abundant number, since it is smaller than the sum of its proper divisors (796414284453276).

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

513340056307044 is a wasteful number, since it uses less digits than its factorization.

513340056307044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787009 (or 1787004 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 513340056307044 in words is "five hundred thirteen trillion, three hundred forty billion, fifty-six million, three hundred seven thousand, forty-four".