314132225625 has 225 divisors, whose sum is σ = 610645711291. Its totient is φ = 160878744000.

The previous prime is 314132225611. The next prime is 314132225633. The reversal of 314132225625 is 526522231413.

The square root of 314132225625 is 560475.

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

314132225625 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 3 + 2 + 2 + 25 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 174307085001 + 139825140624 = 417501^2 + 373932^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 314132225625 - 2⁷ = 314132225497 is a prime.

It is a super-2 number, since 2×314132225625² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (86400) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 314132225625.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 5927023099 + ... + 5927023151.

Almost surely, 2^314132225625 is an apocalyptic number.

314132225625 is the 560475-th square number.

314132225625 is the 280238-th centered octagonal number.

It is an amenable number.

314132225625 is a deficient number, since it is larger than the sum of its proper divisors (296513485666).

314132225625 is an frugal number, since it uses more digits than its factorization.

314132225625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 108 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Multiplying 314132225625 by its sum of digits (36), we get a square (11308760122500 = 3362850²).

The spelling of 314132225625 in words is "three hundred fourteen billion, one hundred thirty-two million, two hundred twenty-five thousand, six hundred twenty-five".