2561313664025 has 12 divisors (see below), whose sum is σ = 3176381605932. Its totient is φ = 2048823407040.

The previous prime is 2561313664009. The next prime is 2561313664031. The reversal of 2561313664025 is 5204663131652.

2561313664025 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1838437129 + 2559475226896 = 42877^2 + 1599836^2 .

It is not a de Polignac number, because 2561313664025 - 2⁴ = 2561313664009 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5458274 + ... + 5908923.

It is an arithmetic number, because the mean of its divisors is an integer number (264698467161).

Almost surely, 2^{2561313664025} is an apocalyptic number.

2561313664025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2561313664025 is a deficient number, since it is larger than the sum of its proper divisors (615067941907).

2561313664025 is a wasteful number, since it uses less digits than its factorization.

2561313664025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11376220 (or 11376215 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

Adding to 2561313664025 its reverse (5204663131652), we get a palindrome (7765976795677).

The spelling of 2561313664025 in words is "two trillion, five hundred sixty-one billion, three hundred thirteen million, six hundred sixty-four thousand, twenty-five".