312253352213 has 32 divisors (see below), whose sum is σ = 348529841280. Its totient is φ = 277372892160.

The previous prime is 312253352171. The next prime is 312253352231.

312253352213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312253352213 - 2²⁸ = 311984916757 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312253352213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312253352263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60173423 + ... + 60178611.

It is an arithmetic number, because the mean of its divisors is an integer number (10891557540).

Almost surely, 2^312253352213 is an apocalyptic number.

It is an amenable number.

312253352213 is a deficient number, since it is larger than the sum of its proper divisors (36276489067).

312253352213 is a wasteful number, since it uses less digits than its factorization.

312253352213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5957.

The product of its digits is 32400, while the sum is 32.

It can be divided in two parts, 312253 and 352213, that added together give a palindrome (664466).

The spelling of 312253352213 in words is "three hundred twelve billion, two hundred fifty-three million, three hundred fifty-two thousand, two hundred thirteen".