6971611825161 has 9 divisors (see below), whose sum is σ = 10070117411341. Its totient is φ = 4647735936012.

The previous prime is 6971611825109. The next prime is 6971611825187. The reversal of 6971611825161 is 1615281161796.

The square root of 6971611825161 is 2640381.

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

6971611825161 is a `hidden beast` number, since 6 + 9 + 7 + 1 + 6 + 118 + 2 + 516 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 6971611825161 - 2²⁵ = 6971578270729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6971611825098 and 6971611825107.

It is not an unprimeable number, because it can be changed into a prime (6971611825861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7481080 + ... + 8361206.

Almost surely, 2^{6971611825161} is an apocalyptic number.

6971611825161 is the 2640381-st square number.

6971611825161 is the 1320191-st centered octagonal number.

It is an amenable number.

6971611825161 is a deficient number, since it is larger than the sum of its proper divisors (3098505586180).

6971611825161 is an frugal number, since it uses more digits than its factorization.

6971611825161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760260 (or 880130 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 54.

The spelling of 6971611825161 in words is "six trillion, nine hundred seventy-one billion, six hundred eleven million, eight hundred twenty-five thousand, one hundred sixty-one".