513340505043315 has 32 divisors (see below), whose sum is σ = 829164281756160. Its totient is φ = 271184209168896.

The previous prime is 513340505043277. The next prime is 513340505043329.

513340505043315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513340505043315 - 2¹⁷ = 513340504912243 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283400287 + ... + 285205896.

It is an arithmetic number, because the mean of its divisors is an integer number (25911383804880).

Almost surely, 2^{513340505043315} is an apocalyptic number.

513340505043315 is a deficient number, since it is larger than the sum of its proper divisors (315823776712845).

513340505043315 is a wasteful number, since it uses less digits than its factorization.

513340505043315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568606763.

The product of its (nonzero) digits is 810000, while the sum is 42.

It can be divided in two parts, 51334050 and 5043315, that added together give a palindrome (56377365).

The spelling of 513340505043315 in words is "five hundred thirteen trillion, three hundred forty billion, five hundred five million, forty-three thousand, three hundred fifteen".