65258009 has 2 divisors, whose sum is σ = 65258010. Its totient is φ = 65258008.

The previous prime is 65257991. The next prime is 65258021. The reversal of 65258009 is 90085256.

65258009 is digitally balanced in base 2, 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., 64048009 + 1210000 = 8003^2 + 1100^2 .

It is a cyclic number.

It is not a de Polignac number, because 65258009 - 2²⁰ = 64209433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 65258009.

It is not a weakly prime, because it can be changed into another prime (65258509) 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, 32629004 + 32629005.

It is an arithmetic number, because the mean of its divisors is an integer number (32629005).

Almost surely, 2^65258009 is an apocalyptic number.

It is an amenable number.

65258009 is a deficient number, since it is larger than the sum of its proper divisors (1).

65258009 is an equidigital number, since it uses as much as digits as its factorization.

65258009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 65258009 is about 8078.2429401448. The cubic root of 65258009 is about 402.6038650205.

The spelling of 65258009 in words is "sixty-five million, two hundred fifty-eight thousand, nine".