3155913167121 has 243 divisors, whose sum is σ = 5616878896083. Its totient is φ = 1705429440000.

The previous prime is 3155913167107. The next prime is 3155913167177. The reversal of 3155913167121 is 1217613195513.

The square root of 3155913167121 is 1776489.

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

3155913167121 is a `hidden beast` number, since 3 + 1 + 5 + 591 + 31 + 6 + 7 + 1 + 21 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2638756580625 + 517156586496 = 1624425^2 + 719136^2 .

It is not a de Polignac number, because 3155913167121 - 2³¹ = 3153765683473 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3155913167621) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 31246664971 + ... + 31246665071.

Almost surely, 2^{3155913167121} is an apocalyptic number.

3155913167121 is the 1776489-th square number.

3155913167121 is the 888245-th centered octagonal number.

It is an amenable number.

3155913167121 is a deficient number, since it is larger than the sum of its proper divisors (2460965728962).

3155913167121 is a wasteful number, since it uses less digits than its factorization.

3155913167121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its digits is 170100, while the sum is 45.

The spelling of 3155913167121 in words is "three trillion, one hundred fifty-five billion, nine hundred thirteen million, one hundred sixty-seven thousand, one hundred twenty-one".