564313101313465 has 16 divisors (see below), whose sum is σ = 800601838318080. Its totient is φ = 373614191213760.

The previous prime is 564313101313441. The next prime is 564313101313519.

564313101313465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564313101313465 - 2⁵ = 564313101313433 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277986748401 + ... + 277986750430.

It is an arithmetic number, because the mean of its divisors is an integer number (50037614894880).

Almost surely, 2^{564313101313465} is an apocalyptic number.

It is an amenable number.

564313101313465 is a deficient number, since it is larger than the sum of its proper divisors (236288737004615).

564313101313465 is a wasteful number, since it uses less digits than its factorization.

564313101313465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555973498872.

The product of its (nonzero) digits is 1166400, while the sum is 46.

It can be divided in two parts, 56431310 and 1313465, that added together give a palindrome (57744775).

The spelling of 564313101313465 in words is "five hundred sixty-four trillion, three hundred thirteen billion, one hundred one million, three hundred thirteen thousand, four hundred sixty-five".