8061312170025 has 243 divisors, whose sum is σ = 15346334342703. Its totient is φ = 4044901996800.

The previous prime is 8061312169973. The next prime is 8061312170029. The reversal of 8061312170025 is 5200712131608.

The square root of 8061312170025 is 2839245.

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

8061312170025 is a `hidden beast` number, since 8 + 0 + 613 + 1 + 2 + 17 + 0 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 8028535240089 + 32776929936 = 2833467^2 + 181044^2 .

It is not a de Polignac number, because 8061312170025 - 2²⁷ = 8061177952297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8061312170029) 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, 75339366022 + ... + 75339366128.

Almost surely, 2^{8061312170025} is an apocalyptic number.

8061312170025 is the 2839245-th square number.

8061312170025 is the 1419623-rd centered octagonal number.

It is an amenable number.

8061312170025 is a deficient number, since it is larger than the sum of its proper divisors (7285022172678).

8061312170025 is a wasteful number, since it uses less digits than its factorization.

8061312170025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 8061312170025 by its sum of digits (36), we get a square (290207238120900 = 17035470²).

The spelling of 8061312170025 in words is "eight trillion, sixty-one billion, three hundred twelve million, one hundred seventy thousand, twenty-five".