10006509 has 4 divisors (see below), whose sum is σ = 13342016. Its totient is φ = 6671004.

The previous prime is 10006499. The next prime is 10006511. The reversal of 10006509 is 90560001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10006509 - 2⁹ = 10005997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006519) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1667749 + ... + 1667754.

It is an arithmetic number, because the mean of its divisors is an integer number (3335504).

Almost surely, 2^10006509 is an apocalyptic number.

It is an amenable number.

10006509 is a deficient number, since it is larger than the sum of its proper divisors (3335507).

10006509 is an equidigital number, since it uses as much as digits as its factorization.

10006509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335506.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10006509 is about 3163.3066560168. The cubic root of 10006509 is about 215.4902029163.

The spelling of 10006509 in words is "ten million, six thousand, five hundred nine".