312325617321 has 27 divisors (see below), whose sum is σ = 455654360343. Its totient is φ = 206152645680.

The previous prime is 312325617319. The next prime is 312325617323. The reversal of 312325617321 is 123716523213.

The square root of 312325617321 is 558861.

It is a perfect power (a square), and thus also a powerful number.

312325617321 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 2 + 5 + 617 + 32 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (312325617319) and next prime (312325617323).

It can be written as a sum of positive squares in only one way, i.e., 358685721 + 311966931600 = 18939^2 + 558540^2 .

It is not a de Polignac number, because 312325617321 - 2¹ = 312325617319 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312325617323) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 179393511 + ... + 179395251.

Almost surely, 2^312325617321 is an apocalyptic number.

312325617321 is the 558861-st square number.

312325617321 is the 279431-st centered octagonal number.

It is an amenable number.

312325617321 is a deficient number, since it is larger than the sum of its proper divisors (143328743022).

312325617321 is an frugal number, since it uses more digits than its factorization.

312325617321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 1851 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

Multiplying 312325617321 by its sum of digits (36), we get a square (11243722223556 = 3353166²).

The spelling of 312325617321 in words is "three hundred twelve billion, three hundred twenty-five million, six hundred seventeen thousand, three hundred twenty-one".