33765900025 has 81 divisors (see below), whose sum is σ = 50029228263. Its totient is φ = 22579814400.

The previous prime is 33765900001. The next prime is 33765900067. The reversal of 33765900025 is 52000956733.

The square root of 33765900025 is 183755.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12606124729 + 21159775296 = 112277^2 + 145464^2 .

It is not a de Polignac number, because 33765900025 - 2¹³ = 33765891833 is a prime.

It is a super-2 number, since 2×33765900025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

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, 131384697 + ... + 131384953.

Almost surely, 2^33765900025 is an apocalyptic number.

33765900025 is the 183755-th square number.

33765900025 is the 91878-th centered octagonal number.

It is an amenable number.

33765900025 is a deficient number, since it is larger than the sum of its proper divisors (16263328238).

33765900025 is a wasteful number, since it uses less digits than its factorization.

33765900025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 40.

The spelling of 33765900025 in words is "thirty-three billion, seven hundred sixty-five million, nine hundred thousand, twenty-five".