312613605225 has 30 divisors (see below), whose sum is σ = 579068464590. Its totient is φ = 166727255040.

The previous prime is 312613605211. The next prime is 312613605287. The reversal of 312613605225 is 522506316213.

312613605225 is a `hidden beast` number, since 3 + 1 + 26 + 1 + 3 + 605 + 2 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 405337689 + 312208267536 = 20133^2 + 558756^2 .

It is not a de Polignac number, because 312613605225 - 2⁷ = 312613605097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312613605225.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 77186520 + ... + 77190569.

It is an arithmetic number, because the mean of its divisors is an integer number (19302282153).

Almost surely, 2^312613605225 is an apocalyptic number.

It is an amenable number.

312613605225 is a deficient number, since it is larger than the sum of its proper divisors (266454859365).

312613605225 is a wasteful number, since it uses less digits than its factorization.

312613605225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154377111 (or 154377097 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 312613605225 in words is "three hundred twelve billion, six hundred thirteen million, six hundred five thousand, two hundred twenty-five".