8125009 has 2 divisors, whose sum is σ = 8125010. Its totient is φ = 8125008.

The previous prime is 8124983. The next prime is 8125021. The reversal of 8125009 is 9005218.

8125009 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8105409 + 19600 = 2847^2 + 140^2 .

It is a cyclic number.

It is not a de Polignac number, because 8125009 - 2¹³ = 8116817 is a prime.

It is an Ulam number.

It is equal to p₅₄₇₆₁₂ and since 8125009 and 547612 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (8125109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4062504 + 4062505.

It is an arithmetic number, because the mean of its divisors is an integer number (4062505).

Almost surely, 2^8125009 is an apocalyptic number.

It is an amenable number.

8125009 is a deficient number, since it is larger than the sum of its proper divisors (1).

8125009 is an equidigital number, since it uses as much as digits as its factorization.

8125009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 8125009 is about 2850.4401414518. The cubic root of 8125009 is about 201.0363621582.

The spelling of 8125009 in words is "eight million, one hundred twenty-five thousand, nine".