319515625 has 63 divisors (see below), whose sum is σ = 475365009. Its totient is φ = 214500000.

The previous prime is 319515601. The next prime is 319515689. The reversal of 319515625 is 526515913.

The square root of 319515625 is 17875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 149891049 + 169624576 = 12243^2 + 13024^2 .

It is not a de Polignac number, because 319515625 - 2⁹ = 319515113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 24578119 + ... + 24578131.

Almost surely, 2^319515625 is an apocalyptic number.

319515625 is the 17875-th square number.

319515625 is the 8938-th centered octagonal number.

It is an amenable number.

319515625 is a deficient number, since it is larger than the sum of its proper divisors (155849384).

319515625 is an frugal number, since it uses more digits than its factorization.

319515625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 29 counting only the distinct ones).

The product of its digits is 40500, while the sum is 37.

The cubic root of 319515625 is about 683.6450920622.

It can be divided in two parts, 3 and 19515625, that added together give a triangular number (19515628 = T₆₂₄₇).

The spelling of 319515625 in words is "three hundred nineteen million, five hundred fifteen thousand, six hundred twenty-five".