92561369121 has 81 divisors (see below), whose sum is σ = 150499348779. Its totient is φ = 54792226944.

The previous prime is 92561369081. The next prime is 92561369161. The reversal of 92561369121 is 12196316529.

The square root of 92561369121 is 304239.

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

92561369121 is a `hidden beast` number, since 9 + 2 + 5 + 613 + 6 + 9 + 1 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (92561369081) and next prime (92561369161).

It can be written as a sum of positive squares in 13 ways, for example, as 91509275025 + 1052094096 = 302505^2 + 32436^2 .

It is not a de Polignac number, because 92561369121 - 2¹⁹ = 92560844833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (92561369161) 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, 344094175 + ... + 344094443.

Almost surely, 2^92561369121 is an apocalyptic number.

92561369121 is the 304239-th square number.

92561369121 is the 152120-th centered octagonal number.

It is an amenable number.

92561369121 is a deficient number, since it is larger than the sum of its proper divisors (57937979658).

92561369121 is a wasteful number, since it uses less digits than its factorization.

92561369121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 314 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The spelling of 92561369121 in words is "ninety-two billion, five hundred sixty-one million, three hundred sixty-nine thousand, one hundred twenty-one".