2225480625 has 135 divisors (see below), whose sum is σ = 4385578197. Its totient is φ = 1086912000.

The previous prime is 2225480581. The next prime is 2225480633. The reversal of 2225480625 is 5260845222.

The square root of 2225480625 is 47175.

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

2225480625 is a `hidden beast` number, since 2 + 2 + 25 + 4 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 1774852641 + 450627984 = 42129^2 + 21228^2 .

It is not a de Polignac number, because 2225480625 - 2⁷ = 2225480497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2225480625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 60148107 + ... + 60148143.

Almost surely, 2^2225480625 is an apocalyptic number.

2225480625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2225480625 is the 47175-th square number.

2225480625 is the 23588-th centered octagonal number.

It is an amenable number.

2225480625 is a deficient number, since it is larger than the sum of its proper divisors (2160097572).

2225480625 is an equidigital number, since it uses as much as digits as its factorization.

2225480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The cubic root of 2225480625 is about 1305.5933796865.

Multiplying 2225480625 by its sum of digits (36), we get a square (80117302500 = 283050²).

The spelling of 2225480625 in words is "two billion, two hundred twenty-five million, four hundred eighty thousand, six hundred twenty-five".