311253117 has 24 divisors (see below), whose sum is σ = 500579136. Its totient is φ = 168493824.

The previous prime is 311253091. The next prime is 311253121. The reversal of 311253117 is 711352113.

It is a happy number.

It is not a de Polignac number, because 311253117 - 2⁶ = 311253053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311253157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12948 + ... + 28109.

It is an arithmetic number, because the mean of its divisors is an integer number (20857464).

Almost surely, 2^311253117 is an apocalyptic number.

It is an amenable number.

311253117 is a deficient number, since it is larger than the sum of its proper divisors (189326019).

311253117 is a wasteful number, since it uses less digits than its factorization.

311253117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41105 (or 41086 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 311253117 is about 17642.3671030846. The cubic root of 311253117 is about 677.7006514337.

The spelling of 311253117 in words is "three hundred eleven million, two hundred fifty-three thousand, one hundred seventeen".