10005509 has 2 divisors, whose sum is σ = 10005510. Its totient is φ = 10005508.

The previous prime is 10005497. The next prime is 10005511. The reversal of 10005509 is 90550001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8392609 + 1612900 = 2897^2 + 1270^2 .

It is an emirp because it is prime and its reverse (90550001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10005509 - 2²⁰ = 8956933 is a prime.

It is a super-2 number, since 2×10005509² = 200220420698162, which contains 22 as substring.

Together with 10005511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002754 + 5002755.

It is an arithmetic number, because the mean of its divisors is an integer number (5002755).

Almost surely, 2^10005509 is an apocalyptic number.

It is an amenable number.

10005509 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005509 is an equidigital number, since it uses as much as digits as its factorization.

10005509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 10005509 is about 3163.1485896176. The cubic root of 10005509 is about 215.4830243428.

The spelling of 10005509 in words is "ten million, five thousand, five hundred nine".