900900225 has 135 divisors (see below), whose sum is σ = 1806717913. Its totient is φ = 443741760.

The previous prime is 900900199. The next prime is 900900239. The reversal of 900900225 is 522009009.

The square root of 900900225 is 30015.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12383361 + 888516864 = 3519^2 + 29808^2 .

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

It is not a de Polignac number, because 900900225 - 2¹¹ = 900898177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

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, 31065511 + ... + 31065539.

Almost surely, 2^900900225 is an apocalyptic number.

900900225 is the 30015-th square number.

900900225 is the 15008-th centered octagonal number.

It is an amenable number.

900900225 is an abundant number, since it is smaller than the sum of its proper divisors (905817688).

900900225 is a wasteful number, since it uses less digits than its factorization.

900900225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 900900225 is about 965.8111875873.

The spelling of 900900225 in words is "nine hundred million, nine hundred thousand, two hundred twenty-five".