2561677245401 has 16 divisors (see below), whose sum is σ = 2757118949760. Its totient is φ = 2372773668480.

The previous prime is 2561677245377. The next prime is 2561677245431. The reversal of 2561677245401 is 1045427761652.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2561677245401 - 2¹⁰ = 2561677244377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2561677245401.

It is not an unprimeable number, because it can be changed into a prime (2561677245431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6423956 + ... + 6811061.

It is an arithmetic number, because the mean of its divisors is an integer number (172319934360).

Almost surely, 2^{2561677245401} is an apocalyptic number.

It is an amenable number.

2561677245401 is a deficient number, since it is larger than the sum of its proper divisors (195441704359).

2561677245401 is a wasteful number, since it uses less digits than its factorization.

2561677245401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13235264.

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 2561677245401 in words is "two trillion, five hundred sixty-one billion, six hundred seventy-seven million, two hundred forty-five thousand, four hundred one".