312544445213 has 64 divisors (see below), whose sum is σ = 423006904320. Its totient is φ = 223007904000.

The previous prime is 312544445207. The next prime is 312544445281.

312544445213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312544445213 - 2⁴ = 312544445197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312544445113) 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 63 ways as a sum of consecutive naturals, for example, 215994056 + ... + 215995502.

It is an arithmetic number, because the mean of its divisors is an integer number (6609482880).

Almost surely, 2^312544445213 is an apocalyptic number.

It is an amenable number.

312544445213 is a deficient number, since it is larger than the sum of its proper divisors (110462459107).

312544445213 is a wasteful number, since it uses less digits than its factorization.

312544445213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058.

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 312544 and 445213, that added together give a palindrome (757757).

The spelling of 312544445213 in words is "three hundred twelve billion, five hundred forty-four million, four hundred forty-five thousand, two hundred thirteen".