3913002253161 has 81 divisors (see below), whose sum is σ = 5915539665399. Its totient is φ = 2492445060000.

The previous prime is 3913002253109. The next prime is 3913002253169. The reversal of 3913002253161 is 1613522003193.

The square root of 3913002253161 is 1978131.

It is a perfect power (a square), and thus also a powerful number.

3913002253161 is a `hidden beast` number, since 3 + 91 + 30 + 0 + 2 + 2 + 531 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3501408152025 + 411594101136 = 1871205^2 + 641556^2 .

It is not a de Polignac number, because 3913002253161 - 2⁷ = 3913002253033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3913002253169) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15589650286 + ... + 15589650536.

Almost surely, 2^{3913002253161} is an apocalyptic number.

3913002253161 is the 1978131-st square number.

3913002253161 is the 989066-th centered octagonal number.

It is an amenable number.

3913002253161 is a deficient number, since it is larger than the sum of its proper divisors (2002537412238).

3913002253161 is an frugal number, since it uses more digits than its factorization.

3913002253161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Multiplying 3913002253161 by its sum of digits (36), we get a square (140868081113796 = 11868786²).

The spelling of 3913002253161 in words is "three trillion, nine hundred thirteen billion, two million, two hundred fifty-three thousand, one hundred sixty-one".