513465564315 has 64 divisors (see below), whose sum is σ = 944546365440. Its totient is φ = 235563834240.

The previous prime is 513465564301. The next prime is 513465564317.

513465564315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513465564315 - 2⁹ = 513465563803 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513465564317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2493622 + ... + 2691668.

It is an arithmetic number, because the mean of its divisors is an integer number (14758536960).

Almost surely, 2^513465564315 is an apocalyptic number.

513465564315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513465564315 is a deficient number, since it is larger than the sum of its proper divisors (431080801125).

513465564315 is a wasteful number, since it uses less digits than its factorization.

513465564315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198912.

The product of its digits is 3240000, while the sum is 48.

The spelling of 513465564315 in words is "five hundred thirteen billion, four hundred sixty-five million, five hundred sixty-four thousand, three hundred fifteen".