315950625 has 75 divisors (see below), whose sum is σ = 597340821. Its totient is φ = 166374000.

The previous prime is 315950611. The next prime is 315950629. The reversal of 315950625 is 526059513.

The square root of 315950625 is 17775.

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

315950625 is a `hidden beast` number, since 3 + 1 + 595 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24770529 + 291180096 = 4977^2 + 17064^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 315950625 - 2²⁷ = 181732897 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 315950625.

It is not an unprimeable number, because it can be changed into a prime (315950629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3999336 + ... + 3999414.

Almost surely, 2^315950625 is an apocalyptic number.

315950625 is the 17775-th square number.

315950625 is the 8888-th centered octagonal number.

It is an amenable number.

315950625 is a deficient number, since it is larger than the sum of its proper divisors (281390196).

315950625 is an frugal number, since it uses more digits than its factorization.

315950625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The cubic root of 315950625 is about 681.0929834804.

Multiplying 315950625 by its sum of digits (36), we get a square (11374222500 = 106650²).

The spelling of 315950625 in words is "three hundred fifteen million, nine hundred fifty thousand, six hundred twenty-five".