225506313 has 12 divisors (see below), whose sum is σ = 325868868. Its totient is φ = 150274080.

The previous prime is 225506311. The next prime is 225506317. The reversal of 225506313 is 313605522.

225506313 is a `hidden beast` number, since 2 + 25 + 5 + 0 + 631 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142277184 + 83229129 = 11928^2 + 9123^2 .

It is not a de Polignac number, because 225506313 - 2¹ = 225506311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225506311) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28731 + ... + 35727.

It is an arithmetic number, because the mean of its divisors is an integer number (27155739).

Almost surely, 2^225506313 is an apocalyptic number.

It is an amenable number.

225506313 is a deficient number, since it is larger than the sum of its proper divisors (100362555).

225506313 is a wasteful number, since it uses less digits than its factorization.

225506313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10584 (or 10581 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 225506313 is about 15016.8676161176. The cubic root of 225506313 is about 608.6760796924.

The spelling of 225506313 in words is "two hundred twenty-five million, five hundred six thousand, three hundred thirteen".