5005005000509 has 2 divisors, whose sum is σ = 5005005000510. Its totient is φ = 5005005000508.

The previous prime is 5005005000497. The next prime is 5005005000517. The reversal of 5005005000509 is 9050005005005.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3613242127609 + 1391762872900 = 1900853^2 + 1179730^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005005000509 - 2⁴ = 5005005000493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5005005006509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502502500254 + 2502502500255.

It is an arithmetic number, because the mean of its divisors is an integer number (2502502500255).

Almost surely, 2^{5005005000509} is an apocalyptic number.

It is an amenable number.

5005005000509 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005005000509 is an equidigital number, since it uses as much as digits as its factorization.

5005005000509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5625, while the sum is 29.

The spelling of 5005005000509 in words is "five trillion, five billion, five million, five hundred nine", and thus it is an aban number.