2564561304116 has 24 divisors (see below), whose sum is σ = 5129228899200. Its totient is φ = 1099074925152.

The previous prime is 2564561304103. The next prime is 2564561304119. The reversal of 2564561304116 is 6114031654652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564561304119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463121 + ... + 2311623.

It is an arithmetic number, because the mean of its divisors is an integer number (213717870800).

Almost surely, 2^{2564561304116} is an apocalyptic number.

It is an amenable number.

2564561304116 is an abundant number, since it is smaller than the sum of its proper divisors (2564667595084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2564561304116 is a wasteful number, since it uses less digits than its factorization.

2564561304116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898063 (or 1898061 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

Adding to 2564561304116 its reverse (6114031654652), we get a palindrome (8678592958768).

The spelling of 2564561304116 in words is "two trillion, five hundred sixty-four billion, five hundred sixty-one million, three hundred four thousand, one hundred sixteen".