312605506213 has 64 divisors (see below), whose sum is σ = 446743019520. Its totient is φ = 210514406400.

The previous prime is 312605506211. The next prime is 312605506219.

312605506213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312605506213 - 2¹ = 312605506211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312605506211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3202158 + ... + 3298336.

It is an arithmetic number, because the mean of its divisors is an integer number (6980359680).

Almost surely, 2^312605506213 is an apocalyptic number.

It is an amenable number.

312605506213 is a deficient number, since it is larger than the sum of its proper divisors (134137513307).

312605506213 is a wasteful number, since it uses less digits than its factorization.

312605506213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96418.

The product of its (nonzero) digits is 32400, while the sum is 34.

It can be divided in two parts, 312605 and 506213, that added together give a palindrome (818818).

The spelling of 312605506213 in words is "three hundred twelve billion, six hundred five million, five hundred six thousand, two hundred thirteen".