312653125 has 12 divisors (see below), whose sum is σ = 390795300. Its totient is φ = 250120000.

The previous prime is 312653083. The next prime is 312653141. The reversal of 312653125 is 521356213.

It is a Cunningham number, because it is equal to 17682²+1.

It can be written as a sum of positive squares in 6 ways, for example, as 310852161 + 1800964 = 17631^2 + 1342^2 .

It is not a de Polignac number, because 312653125 - 2¹⁷ = 312522053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312653093 and 312653102.

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 11 ways as a sum of consecutive naturals, for example, 46900 + ... + 53149.

It is an arithmetic number, because the mean of its divisors is an integer number (32566275).

Almost surely, 2^312653125 is an apocalyptic number.

It is an amenable number.

312653125 is a deficient number, since it is larger than the sum of its proper divisors (78142175).

312653125 is an frugal number, since it uses more digits than its factorization.

312653125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100074 (or 100054 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 312653125 is about 17682.0000282773. Note that the first 4 decimals coincide. The cubic root of 312653125 is about 678.7152247693.

The spelling of 312653125 in words is "three hundred twelve million, six hundred fifty-three thousand, one hundred twenty-five".