312578125 has 16 divisors (see below), whose sum is σ = 390819312. Its totient is φ = 250000000.

The previous prime is 312578113. The next prime is 312578159. The reversal of 312578125 is 521875213.

It can be written as a sum of positive squares in 8 ways, for example, as 155301444 + 157276681 = 12462^2 + 12541^2 .

It is not a de Polignac number, because 312578125 - 2¹⁷ = 312447053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76125 + ... + 80125.

It is an arithmetic number, because the mean of its divisors is an integer number (24426207).

Almost surely, 2^312578125 is an apocalyptic number.

It is an amenable number.

312578125 is a deficient number, since it is larger than the sum of its proper divisors (78241187).

312578125 is an frugal number, since it uses more digits than its factorization.

312578125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4006 counting only the distinct ones).

The product of its digits is 16800, while the sum is 34.

The square root of 312578125 is about 17679.8791002654. The cubic root of 312578125 is about 678.6609498039.

It can be divided in two parts, 3125 and 78125, that multiplied together give a 12-th power (244140625 = 5¹²).

The spelling of 312578125 in words is "three hundred twelve million, five hundred seventy-eight thousand, one hundred twenty-five".