513017313520 has 20 divisors (see below), whose sum is σ = 1192765254120. Its totient is φ = 205206925376.

The previous prime is 513017313491. The next prime is 513017313553. The reversal of 513017313520 is 25313710315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3206358130 + ... + 3206358289.

It is an arithmetic number, because the mean of its divisors is an integer number (59638262706).

Almost surely, 2^513017313520 is an apocalyptic number.

It is an amenable number.

513017313520 is an abundant number, since it is smaller than the sum of its proper divisors (679747940600).

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

513017313520 is a wasteful number, since it uses less digits than its factorization.

513017313520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412716432 (or 6412716426 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The spelling of 513017313520 in words is "five hundred thirteen billion, seventeen million, three hundred thirteen thousand, five hundred twenty".