2251163012561 has 8 divisors (see below), whose sum is σ = 2370670699200. Its totient is φ = 2131757868240.

The previous prime is 2251163012521. The next prime is 2251163012563. The reversal of 2251163012561 is 1652103611522.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2251163012561 - 2³⁸ = 1976285105617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2251163012563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25590506 + ... + 25678323.

It is an arithmetic number, because the mean of its divisors is an integer number (296333837400).

Almost surely, 2^{2251163012561} is an apocalyptic number.

It is an amenable number.

2251163012561 is a deficient number, since it is larger than the sum of its proper divisors (119507686639).

2251163012561 is a wasteful number, since it uses less digits than its factorization.

2251163012561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51271159.

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 2251163012561 in words is "two trillion, two hundred fifty-one billion, one hundred sixty-three million, twelve thousand, five hundred sixty-one".