2561400560601 has 6 divisors (see below), whose sum is σ = 3699800809770. Its totient is φ = 1707600373728.

The previous prime is 2561400560591. The next prime is 2561400560629. The reversal of 2561400560601 is 1060650041652.

2561400560601 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 40 + 0 + 5 + 6 + 0 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2457620582400 + 103779978201 = 1567680^2 + 322149^2 .

It is not a de Polignac number, because 2561400560601 - 2⁷ = 2561400560473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2561400560651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142300031136 + ... + 142300031153.

It is an arithmetic number, because the mean of its divisors is an integer number (616633468295).

Almost surely, 2^{2561400560601} is an apocalyptic number.

It is an amenable number.

2561400560601 is a deficient number, since it is larger than the sum of its proper divisors (1138400249169).

2561400560601 is a wasteful number, since it uses less digits than its factorization.

2561400560601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284600062295 (or 284600062292 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2561400560601 in words is "two trillion, five hundred sixty-one billion, four hundred million, five hundred sixty thousand, six hundred one".