2565621012361 has 6 divisors (see below), whose sum is σ = 2820062765786. Its totient is φ = 2332382738400.

The previous prime is 2565621012319. The next prime is 2565621012379. The reversal of 2565621012361 is 1632101265652.

2565621012361 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 only one way, i.e., 1306119836736 + 1259501175625 = 1142856^2 + 1122275^2 .

It is not a de Polignac number, because 2565621012361 - 2²⁹ = 2565084141449 is a prime.

It is a super-2 number, since 2×2565621012361² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2565621082361) 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, 10601739600 + ... + 10601739841.

Almost surely, 2^{2565621012361} is an apocalyptic number.

It is an amenable number.

2565621012361 is a deficient number, since it is larger than the sum of its proper divisors (254441753425).

2565621012361 is a wasteful number, since it uses less digits than its factorization.

2565621012361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21203479463 (or 21203479452 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 2565621012361 in words is "two trillion, five hundred sixty-five billion, six hundred twenty-one million, twelve thousand, three hundred sixty-one".