225416625 has 64 divisors (see below), whose sum is σ = 434503680. Its totient is φ = 101649600.

The previous prime is 225416603. The next prime is 225416641. The reversal of 225416625 is 526614522.

It is not a de Polignac number, because 225416625 - 2⁶ = 225416561 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206832 + ... + 207918.

It is an arithmetic number, because the mean of its divisors is an integer number (6789120).

Almost surely, 2^225416625 is an apocalyptic number.

225416625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225416625 is a deficient number, since it is larger than the sum of its proper divisors (209087055).

225416625 is a wasteful number, since it uses less digits than its factorization.

225416625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1181 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 225416625 is about 15013.8810771899. The cubic root of 225416625 is about 608.5953751090.

The spelling of 225416625 in words is "two hundred twenty-five million, four hundred sixteen thousand, six hundred twenty-five".