517304865312 has 384 divisors, whose sum is σ = 1595603681280. Its totient is φ = 162851834880.

The previous prime is 517304865281. The next prime is 517304865361. The reversal of 517304865312 is 213568403715.

It is a happy number.

517304865312 is a `hidden beast` number, since 5 + 1 + 7 + 30 + 4 + 86 + 531 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 190815637 + ... + 190818347.

It is an arithmetic number, because the mean of its divisors is an integer number (4155217920).

Almost surely, 2^517304865312 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 517304865312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797801840640).

517304865312 is an abundant number, since it is smaller than the sum of its proper divisors (1078298815968).

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

517304865312 is a wasteful number, since it uses less digits than its factorization.

517304865312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 517304865312 in words is "five hundred seventeen billion, three hundred four million, eight hundred sixty-five thousand, three hundred twelve".