315642825 has 120 divisors (see below), whose sum is σ = 634399128. Its totient is φ = 154552320.

The previous prime is 315642799. The next prime is 315642851. The reversal of 315642825 is 528246513.

315642825 is a `hidden beast` number, since 3 + 1 + 5 + 642 + 8 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (315642799) and next prime (315642851).

It can be written as a sum of positive squares in 12 ways, for example, as 331776 + 315311049 = 576^2 + 17757^2 .

It is not a de Polignac number, because 315642825 - 2⁵ = 315642793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 315642825.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1824439 + ... + 1824611.

Almost surely, 2^315642825 is an apocalyptic number.

It is an amenable number.

315642825 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

315642825 is a wasteful number, since it uses less digits than its factorization.

315642825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 315642825 is about 17766.3396624065. The cubic root of 315642825 is about 680.8717373763.

The spelling of 315642825 in words is "three hundred fifteen million, six hundred forty-two thousand, eight hundred twenty-five".