36008509 has 2 divisors, whose sum is σ = 36008510. Its totient is φ = 36008508.

The previous prime is 36008507. The next prime is 36008521. The reversal of 36008509 is 90580063.

36008509 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 can be written as a sum of positive squares in only one way, i.e., 29648025 + 6360484 = 5445^2 + 2522^2 .

It is a cyclic number.

It is not a de Polignac number, because 36008509 - 2¹ = 36008507 is a prime.

It is a super-2 number, since 2×36008509² = 2593225440806162, which contains 22 as substring.

Together with 36008507, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36008503) 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, 18004254 + 18004255.

It is an arithmetic number, because the mean of its divisors is an integer number (18004255).

Almost surely, 2^36008509 is an apocalyptic number.

It is an amenable number.

36008509 is a deficient number, since it is larger than the sum of its proper divisors (1).

36008509 is an equidigital number, since it uses as much as digits as its factorization.

36008509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 36008509 is about 6000.7090414384. The cubic root of 36008509 is about 330.2187377465.

The spelling of 36008509 in words is "thirty-six million, eight thousand, five hundred nine".