85633092054225 has 81 divisors (see below), whose sum is σ = 157039219649403. Its totient is φ = 44605757276640.

The previous prime is 85633092054217. The next prime is 85633092054233. The reversal of 85633092054225 is 52245029033658.

It is a happy number.

The square root of 85633092054225 is 9253815.

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

85633092054225 is a `hidden beast` number, since 8 + 5 + 6 + 3 + 3 + 0 + 9 + 205 + 422 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (85633092054217) and next prime (85633092054233).

It can be written as a sum of positive squares in only one way, i.e., 30827913139521 + 54805178914704 = 5552289^2 + 7403052^2 .

It is not a de Polignac number, because 85633092054225 - 2³ = 85633092054217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5968703502 + ... + 5968717848.

Almost surely, 2^{85633092054225} is an apocalyptic number.

85633092054225 is the 9253815-th square number.

85633092054225 is the 4626908-th centered octagonal number.

It is an amenable number.

85633092054225 is a deficient number, since it is larger than the sum of its proper divisors (71406127595178).

85633092054225 is an frugal number, since it uses more digits than its factorization.

85633092054225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28796 (or 14398 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 85633092054225 in words is "eighty-five trillion, six hundred thirty-three billion, ninety-two million, fifty-four thousand, two hundred twenty-five".