225316521 has 12 divisors (see below), whose sum is σ = 344601972. Its totient is φ = 141374976.

The previous prime is 225316513. The next prime is 225316523. The reversal of 225316521 is 125613522.

It is a happy number.

225316521 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 1 + 652 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134304921 + 91011600 = 11589^2 + 9540^2 .

It is not a de Polignac number, because 225316521 - 2³ = 225316513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225316523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736176 + ... + 736481.

It is an arithmetic number, because the mean of its divisors is an integer number (28716831).

Almost surely, 2^225316521 is an apocalyptic number.

It is an amenable number.

225316521 is a deficient number, since it is larger than the sum of its proper divisors (119285451).

225316521 is a wasteful number, since it uses less digits than its factorization.

225316521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472680 (or 1472677 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 225316521 is about 15010.5469920320. The cubic root of 225316521 is about 608.5052725387.

The spelling of 225316521 in words is "two hundred twenty-five million, three hundred sixteen thousand, five hundred twenty-one".