36008507 has 2 divisors, whose sum is σ = 36008508. Its totient is φ = 36008506.

The previous prime is 36008503. The next prime is 36008509. The reversal of 36008507 is 70580063.

36008507 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 is a cyclic number.

It is not a de Polignac number, because 36008507 - 2² = 36008503 is a prime.

It is a super-2 number, since 2×36008507² = 2593225152738098, which contains 22 as substring.

Together with 36008509, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36008507.

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, 18004253 + 18004254.

It is an arithmetic number, because the mean of its divisors is an integer number (18004254).

Almost surely, 2^36008507 is an apocalyptic number.

36008507 is a deficient number, since it is larger than the sum of its proper divisors (1).

36008507 is an equidigital number, since it uses as much as digits as its factorization.

36008507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 36008507 is about 6000.7088747914. The cubic root of 36008507 is about 330.2187316328.

The spelling of 36008507 in words is "thirty-six million, eight thousand, five hundred seven".