825008609 has 2 divisors, whose sum is σ = 825008610. Its totient is φ = 825008608.

The previous prime is 825008567. The next prime is 825008651. The reversal of 825008609 is 906800528.

It is a balanced prime because it is at equal distance from previous prime (825008567) and next prime (825008651).

It can be written as a sum of positive squares in only one way, i.e., 497290000 + 327718609 = 22300^2 + 18103^2 .

It is a cyclic number.

It is not a de Polignac number, because 825008609 - 2¹⁶ = 824943073 is a prime.

It is a super-2 number, since 2×825008609² = 1361278409848229762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (825008209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412504304 + 412504305.

It is an arithmetic number, because the mean of its divisors is an integer number (412504305).

Almost surely, 2^825008609 is an apocalyptic number.

It is an amenable number.

825008609 is a deficient number, since it is larger than the sum of its proper divisors (1).

825008609 is an equidigital number, since it uses as much as digits as its factorization.

825008609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 825008609 is about 28722.9630957532. The cubic root of 825008609 is about 937.8919900091.

The spelling of 825008609 in words is "eight hundred twenty-five million, eight thousand, six hundred nine".