513513152465 has 16 divisors (see below), whose sum is σ = 649492246800. Its totient is φ = 389160774912.

The previous prime is 513513152447. The next prime is 513513152483. The reversal of 513513152465 is 564251315315.

It is an interprime number because it is at equal distance from previous prime (513513152447) and next prime (513513152483).

It can be written as a sum of positive squares in 8 ways, for example, as 83733260689 + 429779891776 = 289367^2 + 655576^2 .

It is a cyclic number.

It is not a de Polignac number, because 513513152465 - 2²⁸ = 513244717009 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33402410 + ... + 33417779.

It is an arithmetic number, because the mean of its divisors is an integer number (40593265425).

Almost surely, 2^513513152465 is an apocalyptic number.

It is an amenable number.

513513152465 is a deficient number, since it is larger than the sum of its proper divisors (135979094335).

513513152465 is a wasteful number, since it uses less digits than its factorization.

513513152465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66820276.

The product of its digits is 270000, while the sum is 41.

The spelling of 513513152465 in words is "five hundred thirteen billion, five hundred thirteen million, one hundred fifty-two thousand, four hundred sixty-five".