5533128225 has 189 divisors, whose sum is σ = 11244107433. Its totient is φ = 2699282880.

The previous prime is 5533128179. The next prime is 5533128247. The reversal of 5533128225 is 5228213355.

The square root of 5533128225 is 74385.

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

5533128225 is a `hidden beast` number, since 553 + 3 + 1 + 2 + 82 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76055841 + 5457072384 = 8721^2 + 73872^2 .

It is not a de Polignac number, because 5533128225 - 2⁹ = 5533127713 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5533128225.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 190797511 + ... + 190797539.

Almost surely, 2^5533128225 is an apocalyptic number.

5533128225 is the 74385-th square number.

5533128225 is the 37193-rd centered octagonal number.

It is an amenable number.

5533128225 is an abundant number, since it is smaller than the sum of its proper divisors (5710979208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5533128225 is an equidigital number, since it uses as much as digits as its factorization.

5533128225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 56 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The cubic root of 5533128225 is about 1768.7111415837.

Multiplying 5533128225 by its sum of digits (36), we get a square (199192616100 = 446310²).

The spelling of 5533128225 in words is "five billion, five hundred thirty-three million, one hundred twenty-eight thousand, two hundred twenty-five".