33290880530625 has 135 divisors (see below), whose sum is σ = 63434013214143. Its totient is φ = 16816501152000.

The previous prime is 33290880530573. The next prime is 33290880530627. The reversal of 33290880530625 is 52603508809233.

The square root of 33290880530625 is 5769825.

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

33290880530625 is a `hidden beast` number, since 3 + 3 + 2 + 9 + 0 + 8 + 8 + 0 + 5 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 31514290110081 + 1776590420544 = 5613759^2 + 1332888^2 .

It is not a de Polignac number, because 33290880530625 - 2²¹ = 33290878433473 is a prime.

It is a super-2 number, since 2×33290880530625² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33290880530627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8221998601 + ... + 8222002649.

Almost surely, 2^{33290880530625} is an apocalyptic number.

33290880530625 is the 5769825-th square number.

33290880530625 is the 2884913-rd centered octagonal number.

It is an amenable number.

33290880530625 is a deficient number, since it is larger than the sum of its proper divisors (30143132683518).

33290880530625 is an frugal number, since it uses more digits than its factorization.

33290880530625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8162 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 33290880530625 in words is "thirty-three trillion, two hundred ninety billion, eight hundred eighty million, five hundred thirty thousand, six hundred twenty-five".