312817608601 has 9 divisors (see below), whose sum is σ = 320286242901. Its totient is φ = 305519289852.

The previous prime is 312817608517. The next prime is 312817608619. The reversal of 312817608601 is 106806718213.

The square root of 312817608601 is 559301.

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

It is not a de Polignac number, because 312817608601 - 2⁷ = 312817608473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312817608101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24043440 + ... + 24056446.

Almost surely, 2^312817608601 is an apocalyptic number.

312817608601 is the 559301-st square number.

312817608601 is the 279651-st centered octagonal number.

It is an amenable number.

312817608601 is a deficient number, since it is larger than the sum of its proper divisors (7468634300).

312817608601 is an frugal number, since it uses more digits than its factorization.

312817608601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26100 (or 13050 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 312817608601 in words is "three hundred twelve billion, eight hundred seventeen million, six hundred eight thousand, six hundred one".