513643343346315 has 128 divisors (see below), whose sum is σ = 1162623306700800. Its totient is φ = 209272194915840.

The previous prime is 513643343346307. The next prime is 513643343346377.

It is a happy number.

513643343346315 is a `hidden beast` number, since 5 + 136 + 4 + 3 + 3 + 4 + 33 + 463 + 15 = 666.

513643343346315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513643343346315 - 2³ = 513643343346307 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 720516321 + ... + 721228850.

It is an arithmetic number, because the mean of its divisors is an integer number (9082994583600).

Almost surely, 2^{513643343346315} is an apocalyptic number.

513643343346315 is an abundant number, since it is smaller than the sum of its proper divisors (648979963354485).

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

513643343346315 is a wasteful number, since it uses less digits than its factorization.

513643343346315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441745234 (or 1441745228 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 54.

The spelling of 513643343346315 in words is "five hundred thirteen trillion, six hundred forty-three billion, three hundred forty-three million, three hundred forty-six thousand, three hundred fifteen".