312863398323025 has 81 divisors (see below), whose sum is σ = 429274783917777. Its totient is φ = 226026466459200.

The previous prime is 312863398323019. The next prime is 312863398323037. The reversal of 312863398323025 is 520323893368213.

The square root of 312863398323025 is 17687945.

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 57986260346641 + 254877137976384 = 7614871^2 + 15964872^2 .

It is not a de Polignac number, because 312863398323025 - 2³ = 312863398323017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 158572425939 + ... + 158572427911.

Almost surely, 2^{312863398323025} is an apocalyptic number.

312863398323025 is the 17687945-th square number.

312863398323025 is the 8843973-rd centered octagonal number.

It is an amenable number.

312863398323025 is a deficient number, since it is larger than the sum of its proper divisors (116411385594752).

312863398323025 is an frugal number, since it uses more digits than its factorization.

312863398323025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 58.

The spelling of 312863398323025 in words is "three hundred twelve trillion, eight hundred sixty-three billion, three hundred ninety-eight million, three hundred twenty-three thousand, twenty-five".