312553262355213 has 48 divisors (see below), whose sum is σ = 460407324706560. Its totient is φ = 188458495800960.

The previous prime is 312553262355203. The next prime is 312553262355223.

It is a happy number.

312553262355213 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (312553262355203) and next prime (312553262355223).

It is a de Polignac number, because none of the positive numbers 2^k-312553262355213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312553262355203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3161237343 + ... + 3161336211.

It is an arithmetic number, because the mean of its divisors is an integer number (9591819264720).

Almost surely, 2^{312553262355213} is an apocalyptic number.

312553262355213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312553262355213 is a deficient number, since it is larger than the sum of its proper divisors (147854062351347).

312553262355213 is a wasteful number, since it uses less digits than its factorization.

312553262355213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143298 (or 143287 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 48.

The spelling of 312553262355213 in words is "three hundred twelve trillion, five hundred fifty-three billion, two hundred sixty-two million, three hundred fifty-five thousand, two hundred thirteen".