513313615230561 has 18 divisors (see below), whose sum is σ = 767901977188710. Its totient is φ = 330408763821696.

The previous prime is 513313615230557. The next prime is 513313615230701. The reversal of 513313615230561 is 165032516313315.

513313615230561 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 1 + 3 + 6 + 1 + 52 + 30 + 561 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7731374886225 + 505582240344336 = 2780535^2 + 22485156^2 .

It is not a de Polignac number, because 513313615230561 - 2² = 513313615230557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513313615230551) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33908937816 + ... + 33908952953.

Almost surely, 2^{513313615230561} is an apocalyptic number.

It is an amenable number.

513313615230561 is a deficient number, since it is larger than the sum of its proper divisors (254588361958149).

513313615230561 is a wasteful number, since it uses less digits than its factorization.

513313615230561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67817890833 (or 67817890801 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 513313615230561 in words is "five hundred thirteen trillion, three hundred thirteen billion, six hundred fifteen million, two hundred thirty thousand, five hundred sixty-one".