312522125 has 32 divisors (see below), whose sum is σ = 409350240. Its totient is φ = 237888000.

The previous prime is 312522109. The next prime is 312522139. The reversal of 312522125 is 521225213.

It can be written as a sum of positive squares in 16 ways, for example, as 131377444 + 181144681 = 11462^2 + 13459^2 .

It is not a de Polignac number, because 312522125 - 2⁴ = 312522109 is a prime.

It is a super-2 number, since 2×312522125² = 195340157229031250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312522125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264035 + ... + 265215.

It is an arithmetic number, because the mean of its divisors is an integer number (12792195).

Almost surely, 2^312522125 is an apocalyptic number.

It is an amenable number.

312522125 is a deficient number, since it is larger than the sum of its proper divisors (96828115).

312522125 is a wasteful number, since it uses less digits than its factorization.

312522125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1288 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 312522125 is about 17678.2953080890. The cubic root of 312522125 is about 678.6204188347.

Adding to 312522125 its reverse (521225213), we get a palindrome (833747338).

The spelling of 312522125 in words is "three hundred twelve million, five hundred twenty-two thousand, one hundred twenty-five".