825316317 has 32 divisors (see below), whose sum is σ = 1442447360. Its totient is φ = 456392880.

The previous prime is 825316279. The next prime is 825316343. The reversal of 825316317 is 713613528.

825316317 is a `hidden beast` number, since 8 + 25 + 316 + 317 = 666.

It is not a de Polignac number, because 825316317 - 2⁷ = 825316189 is a prime.

It is a super-2 number, since 2×825316317² = 1362294046212888978, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825316517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64573 + ... + 76290.

It is an arithmetic number, because the mean of its divisors is an integer number (45076480).

Almost surely, 2^825316317 is an apocalyptic number.

It is an amenable number.

825316317 is a deficient number, since it is larger than the sum of its proper divisors (617131043).

825316317 is a wasteful number, since it uses less digits than its factorization.

825316317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140910 (or 140904 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 825316317 is about 28728.3190771754. The cubic root of 825316317 is about 938.0085790939.

The spelling of 825316317 in words is "eight hundred twenty-five million, three hundred sixteen thousand, three hundred seventeen".