2561620625727 has 16 divisors (see below), whose sum is σ = 3499130728800. Its totient is φ = 1665936704000.

The previous prime is 2561620625687. The next prime is 2561620625747. The reversal of 2561620625727 is 7275260261652.

It is a cyclic number.

It is not a de Polignac number, because 2561620625727 - 2²⁴ = 2561603848511 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2561620625727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561620625747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321649 + ... + 2286197.

It is an arithmetic number, because the mean of its divisors is an integer number (218695670550).

Almost surely, 2^{2561620625727} is an apocalyptic number.

2561620625727 is a deficient number, since it is larger than the sum of its proper divisors (937510103073).

2561620625727 is a wasteful number, since it uses less digits than its factorization.

2561620625727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975194.

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 2561620625727 in words is "two trillion, five hundred sixty-one billion, six hundred twenty million, six hundred twenty-five thousand, seven hundred twenty-seven".