575280225 has 135 divisors (see below), whose sum is σ = 1182724059. Its totient is φ = 276307200.

The previous prime is 575280191. The next prime is 575280227. The reversal of 575280225 is 522082575.

The square root of 575280225 is 23985.

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

575280225 is a `hidden beast` number, since 575 + 2 + 80 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 521345889 + 53934336 = 22833^2 + 7344^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 575280225 - 2¹¹ = 575278177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 575280225.

It is not an unprimeable number, because it can be changed into a prime (575280227) 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, 14031205 + ... + 14031245.

Almost surely, 2^575280225 is an apocalyptic number.

575280225 is the 23985-th square number.

575280225 is the 11993-rd centered octagonal number.

It is an amenable number.

575280225 is an abundant number, since it is smaller than the sum of its proper divisors (607443834).

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

575280225 is a wasteful number, since it uses less digits than its factorization.

575280225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The cubic root of 575280225 is about 831.6868124610.

Multiplying 575280225 by its sum of digits (36), we get a square (20710088100 = 143910²).

The spelling of 575280225 in words is "five hundred seventy-five million, two hundred eighty thousand, two hundred twenty-five".