512130316565456 has 20 divisors (see below), whose sum is σ = 1026468091392900. Its totient is φ = 247235325238272.

The previous prime is 512130316565449. The next prime is 512130316565471. The reversal of 512130316565456 is 654565613031215.

It can be written as a sum of positive squares in 2 ways, for example, as 432365483560000 + 79764833005456 = 20793400^2 + 8931116^2 .

It is a super-2 number, since 2×512130316565456² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 512130316565398 and 512130316565407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 551864564801 + ... + 551864565728.

It is an arithmetic number, because the mean of its divisors is an integer number (51323404569645).

Almost surely, 2^{512130316565456} is an apocalyptic number.

It is an amenable number.

512130316565456 is an abundant number, since it is smaller than the sum of its proper divisors (514337774827444).

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

512130316565456 is a wasteful number, since it uses less digits than its factorization.

512130316565456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103729130566 (or 1103729130560 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 53.

The spelling of 512130316565456 in words is "five hundred twelve trillion, one hundred thirty billion, three hundred sixteen million, five hundred sixty-five thousand, four hundred fifty-six".