312131253 has 16 divisors (see below), whose sum is σ = 475891200. Its totient is φ = 178262256.

The previous prime is 312131251. The next prime is 312131273. The reversal of 312131253 is 352131213.

It is not a de Polignac number, because 312131253 - 2¹ = 312131251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53926 + ... + 59432.

It is an arithmetic number, because the mean of its divisors is an integer number (29743200).

Almost surely, 2^312131253 is an apocalyptic number.

It is an amenable number.

312131253 is a deficient number, since it is larger than the sum of its proper divisors (163759947).

312131253 is a wasteful number, since it uses less digits than its factorization.

312131253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8216.

The product of its digits is 540, while the sum is 21.

The square root of 312131253 is about 17667.2367109291. The cubic root of 312131253 is about 678.3373835332.

Adding to 312131253 its reverse (352131213), we get a palindrome (664262466).

The spelling of 312131253 in words is "three hundred twelve million, one hundred thirty-one thousand, two hundred fifty-three".