312605253 has 6 divisors (see below), whose sum is σ = 451540934. Its totient is φ = 208403496.

The previous prime is 312605221. The next prime is 312605257. The reversal of 312605253 is 352506213.

312605253 is a `hidden beast` number, since 3 + 1 + 2 + 605 + 2 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 273141729 + 39463524 = 16527^2 + 6282^2 .

It is not a de Polignac number, because 312605253 - 2⁵ = 312605221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312605257) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17366950 + ... + 17366967.

Almost surely, 2^312605253 is an apocalyptic number.

It is an amenable number.

312605253 is a deficient number, since it is larger than the sum of its proper divisors (138935681).

312605253 is a wasteful number, since it uses less digits than its factorization.

312605253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34733923 (or 34733920 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 312605253 is about 17680.6462834366. The cubic root of 312605253 is about 678.6805824228.

The spelling of 312605253 in words is "three hundred twelve million, six hundred five thousand, two hundred fifty-three".