825008567 has 2 divisors, whose sum is σ = 825008568. Its totient is φ = 825008566.

The previous prime is 825008543. The next prime is 825008609. The reversal of 825008567 is 765800528.

825008567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 825008567 - 2¹² = 825004471 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825008537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412504283 + 412504284.

It is an arithmetic number, because the mean of its divisors is an integer number (412504284).

Almost surely, 2^825008567 is an apocalyptic number.

825008567 is a deficient number, since it is larger than the sum of its proper divisors (1).

825008567 is an equidigital number, since it uses as much as digits as its factorization.

825008567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 825008567 is about 28722.9623646308. The cubic root of 825008567 is about 937.8919740935.

The spelling of 825008567 in words is "eight hundred twenty-five million, eight thousand, five hundred sixty-seven".