312652262256213 has 48 divisors (see below), whose sum is σ = 466696104537600. Its totient is φ = 185990779708800.

The previous prime is 312652262256199. The next prime is 312652262256227.

312652262256213 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (312652262256199) and next prime (312652262256227).

It is not a de Polignac number, because 312652262256213 - 2²¹ = 312652260159061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312652262256253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4132218 + ... + 25345211.

It is an arithmetic number, because the mean of its divisors is an integer number (9722835511200).

Almost surely, 2^{312652262256213} is an apocalyptic number.

312652262256213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312652262256213 is a deficient number, since it is larger than the sum of its proper divisors (154043842281387).

312652262256213 is a wasteful number, since it uses less digits than its factorization.

312652262256213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29477994 (or 29477983 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 312652262256213 in words is "three hundred twelve trillion, six hundred fifty-two billion, two hundred sixty-two million, two hundred fifty-six thousand, two hundred thirteen".