825972089 has 2 divisors, whose sum is σ = 825972090. Its totient is φ = 825972088.

The previous prime is 825972083. The next prime is 825972107. The reversal of 825972089 is 980279528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 824551225 + 1420864 = 28715^2 + 1192^2 .

It is a cyclic number.

It is not a de Polignac number, because 825972089 - 2⁴ = 825972073 is a prime.

It is not a weakly prime, because it can be changed into another prime (825972083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412986044 + 412986045.

It is an arithmetic number, because the mean of its divisors is an integer number (412986045).

Almost surely, 2^825972089 is an apocalyptic number.

It is an amenable number.

825972089 is a deficient number, since it is larger than the sum of its proper divisors (1).

825972089 is an equidigital number, since it uses as much as digits as its factorization.

825972089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 50.

The square root of 825972089 is about 28739.7301483504. The cubic root of 825972089 is about 938.2569513048.

The spelling of 825972089 in words is "eight hundred twenty-five million, nine hundred seventy-two thousand, eighty-nine".