315595225 has 81 divisors (see below), whose sum is σ = 482254941. Its totient is φ = 204652800.

The previous prime is 315595219. The next prime is 315595253. The reversal of 315595225 is 522595513.

The square root of 315595225 is 17765.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7382089 + 308213136 = 2717^2 + 17556^2 .

It is not a de Polignac number, because 315595225 - 2¹³ = 315587033 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 80 ways as a sum of consecutive naturals, for example, 16610266 + ... + 16610284.

Almost surely, 2^315595225 is an apocalyptic number.

315595225 is the 17765-th square number.

315595225 is the 8883-rd centered octagonal number.

It is an amenable number.

315595225 is a deficient number, since it is larger than the sum of its proper divisors (166659716).

315595225 is a wasteful number, since it uses less digits than its factorization.

315595225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 52 counting only the distinct ones).

The product of its digits is 67500, while the sum is 37.

The cubic root of 315595225 is about 680.8375097394.

The spelling of 315595225 in words is "three hundred fifteen million, five hundred ninety-five thousand, two hundred twenty-five".