312521444125213 has 8 divisors (see below), whose sum is σ = 312954158619000. Its totient is φ = 312089019756288.

The previous prime is 312521444125201. The next prime is 312521444125301.

312521444125213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 160691066254404 + 151830377870809 = 12676398^2 + 12321947^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312521444125213 - 2⁵ = 312521444125181 is a prime.

It is a super-4 number, since 4×312521444125213⁴ (a number of 59 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312521444135213) 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 7 ways as a sum of consecutive naturals, for example, 70375288 + ... + 74684161.

It is an arithmetic number, because the mean of its divisors is an integer number (39119269827375).

Almost surely, 2^{312521444125213} is an apocalyptic number.

It is an amenable number.

312521444125213 is a deficient number, since it is larger than the sum of its proper divisors (432714493787).

312521444125213 is a wasteful number, since it uses less digits than its factorization.

312521444125213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145062431.

The product of its digits is 230400, while the sum is 40.

The spelling of 312521444125213 in words is "three hundred twelve trillion, five hundred twenty-one billion, four hundred forty-four million, one hundred twenty-five thousand, two hundred thirteen".