312523202325213 has 72 divisors (see below), whose sum is σ = 503616467803904. Its totient is φ = 186573956152320.

The previous prime is 312523202325193. The next prime is 312523202325227.

312523202325213 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 2 + 320 + 2 + 325 + 2 + 1 + 3 = 666.

312523202325213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312523202325213 - 2⁶ = 312523202325149 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 (312523202325253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2425736445 + ... + 2425865277.

Almost surely, 2^{312523202325213} is an apocalyptic number.

312523202325213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312523202325213 is a deficient number, since it is larger than the sum of its proper divisors (191093265478691).

312523202325213 is a wasteful number, since it uses less digits than its factorization.

312523202325213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162175 (or 162161 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 31252320 and 2325213, that added together give a palindrome (33577533).

The spelling of 312523202325213 in words is "three hundred twelve trillion, five hundred twenty-three billion, two hundred two million, three hundred twenty-five thousand, two hundred thirteen".