312355553213 has 6 divisors (see below), whose sum is σ = 343332963582. Its totient is φ = 283959593720.

The previous prime is 312355553203. The next prime is 312355553249.

312355553213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 312232853284 + 122699929 = 558778^2 + 11077^2 .

It is not a de Polignac number, because 312355553213 - 2²² = 312351358909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312355553203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1290725306 + ... + 1290725547.

It is an arithmetic number, because the mean of its divisors is an integer number (57222160597).

Almost surely, 2^312355553213 is an apocalyptic number.

It is an amenable number.

312355553213 is a deficient number, since it is larger than the sum of its proper divisors (30977410369).

312355553213 is a wasteful number, since it uses less digits than its factorization.

312355553213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581450875 (or 2581450864 counting only the distinct ones).

The product of its digits is 202500, while the sum is 38.

It can be divided in two parts, 312355 and 553213, that added together give a palindrome (865568).

The spelling of 312355553213 in words is "three hundred twelve billion, three hundred fifty-five million, five hundred fifty-three thousand, two hundred thirteen".