9075420225 has 135 divisors (see below), whose sum is σ = 17652254763. Its totient is φ = 4609301760.

The previous prime is 9075420217. The next prime is 9075420257. The reversal of 9075420225 is 5220245709.

It is a happy number.

The square root of 9075420225 is 95265.

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

9075420225 is a `hidden beast` number, since 9 + 0 + 7 + 5 + 420 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4987608129 + 4087812096 = 70623^2 + 63936^2 .

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

It is not a de Polignac number, because 9075420225 - 2³ = 9075420217 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 9075420225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 124320789 + ... + 124320861.

Almost surely, 2^9075420225 is an apocalyptic number.

9075420225 is the 95265-th square number.

9075420225 is the 47633-rd centered octagonal number.

It is an amenable number.

9075420225 is a deficient number, since it is larger than the sum of its proper divisors (8576834538).

9075420225 is an equidigital number, since it uses as much as digits as its factorization.

9075420225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The cubic root of 9075420225 is about 2085.8780526171.

Multiplying 9075420225 by its sum of digits (36), we get a square (326715128100 = 571590²).

The spelling of 9075420225 in words is "nine billion, seventy-five million, four hundred twenty thousand, two hundred twenty-five".