825004589 has 2 divisors, whose sum is σ = 825004590. Its totient is φ = 825004588.

The previous prime is 825004571. The next prime is 825004601. The reversal of 825004589 is 985400528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 822255625 + 2748964 = 28675^2 + 1658^2 .

It is a cyclic number.

It is not a de Polignac number, because 825004589 - 2¹² = 825000493 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825004289) 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, 412502294 + 412502295.

It is an arithmetic number, because the mean of its divisors is an integer number (412502295).

Almost surely, 2^825004589 is an apocalyptic number.

It is an amenable number.

825004589 is a deficient number, since it is larger than the sum of its proper divisors (1).

825004589 is an equidigital number, since it uses as much as digits as its factorization.

825004589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 825004589 is about 28722.8931168154. The cubic root of 825004589 is about 937.8904666586.

The spelling of 825004589 in words is "eight hundred twenty-five million, four thousand, five hundred eighty-nine".