513342202243315 has 64 divisors (see below), whose sum is σ = 668349619850880. Its totient is φ = 377320135680000.

The previous prime is 513342202243279. The next prime is 513342202243319.

513342202243315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513342202243315 - 2¹⁵ = 513342202210547 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513342202243319) 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, 139236457 + ... + 142875733.

It is an arithmetic number, because the mean of its divisors is an integer number (10442962810170).

Almost surely, 2^{513342202243315} is an apocalyptic number.

513342202243315 is a deficient number, since it is larger than the sum of its proper divisors (155007417607565).

513342202243315 is a wasteful number, since it uses less digits than its factorization.

513342202243315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639704.

The product of its (nonzero) digits is 518400, while the sum is 40.

It can be divided in two parts, 51334220 and 2243315, that added together give a palindrome (53577535).

The spelling of 513342202243315 in words is "five hundred thirteen trillion, three hundred forty-two billion, two hundred two million, two hundred forty-three thousand, three hundred fifteen".