225306525 has 24 divisors (see below), whose sum is σ = 394421184. Its totient is φ = 113094400.

The previous prime is 225306517. The next prime is 225306563. The reversal of 225306525 is 525603522.

It is not a de Polignac number, because 225306525 - 2³ = 225306517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225306492 and 225306501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87081 + ... + 89630.

It is an arithmetic number, because the mean of its divisors is an integer number (16434216).

Almost surely, 2^225306525 is an apocalyptic number.

225306525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225306525 is a deficient number, since it is larger than the sum of its proper divisors (169114659).

225306525 is a wasteful number, since it uses less digits than its factorization.

225306525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176741 (or 176736 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 225306525 is about 15010.2140224582. The cubic root of 225306525 is about 608.4962737775.

The spelling of 225306525 in words is "two hundred twenty-five million, three hundred six thousand, five hundred twenty-five".