312555555213 has 16 divisors (see below), whose sum is σ = 456629031936. Its totient is φ = 188593121840.

The previous prime is 312555555089. The next prime is 312555555271.

312555555213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312555555213 - 2⁸ = 312555554957 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312555555713) 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 15 ways as a sum of consecutive naturals, for example, 20854581 + ... + 20869562.

It is an arithmetic number, because the mean of its divisors is an integer number (28539314496).

Almost surely, 2^312555555213 is an apocalyptic number.

312555555213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312555555213 is a deficient number, since it is larger than the sum of its proper divisors (144073476723).

312555555213 is a wasteful number, since it uses less digits than its factorization.

312555555213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41724384.

The product of its digits is 562500, while the sum is 42.

It can be divided in two parts, 312555 and 555213, that added together give a palindrome (867768).

The spelling of 312555555213 in words is "three hundred twelve billion, five hundred fifty-five million, five hundred fifty-five thousand, two hundred thirteen".