2251163152513 has 6 divisors (see below), whose sum is σ = 2474419002482. Its totient is φ = 2046511956720.

The previous prime is 2251163152501. The next prime is 2251163152529. The reversal of 2251163152513 is 3152513611522.

It can be written as a sum of positive squares in only one way, i.e., 2112043104369 + 139120048144 = 1453287^2 + 372988^2 .

It is not a de Polignac number, because 2251163152513 - 2⁵ = 2251163152481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2251163152813) 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, 9302326956 + ... + 9302327197.

Almost surely, 2^{2251163152513} is an apocalyptic number.

It is an amenable number.

2251163152513 is a deficient number, since it is larger than the sum of its proper divisors (223255849969).

2251163152513 is a wasteful number, since it uses less digits than its factorization.

2251163152513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18604654175 (or 18604654164 counting only the distinct ones).

The product of its digits is 54000, while the sum is 37.

The spelling of 2251163152513 in words is "two trillion, two hundred fifty-one billion, one hundred sixty-three million, one hundred fifty-two thousand, five hundred thirteen".