2561577501164 has 24 divisors (see below), whose sum is σ = 4945231342800. Its totient is φ = 1151270785280.

The previous prime is 2561577501163. The next prime is 2561577501173. The reversal of 2561577501164 is 4611057751652.

2561577501164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2561577501163) 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, 327061649 + ... + 327069480.

It is an arithmetic number, because the mean of its divisors is an integer number (206051305950).

Almost surely, 2^{2561577501164} is an apocalyptic number.

It is an amenable number.

2561577501164 is a deficient number, since it is larger than the sum of its proper divisors (2383653841636).

2561577501164 is a wasteful number, since it uses less digits than its factorization.

2561577501164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654131233 (or 654131231 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 50.

The spelling of 2561577501164 in words is "two trillion, five hundred sixty-one billion, five hundred seventy-seven million, five hundred one thousand, one hundred sixty-four".