13505510009 has 2 divisors, whose sum is σ = 13505510010. Its totient is φ = 13505510008.

The previous prime is 13505509973. The next prime is 13505510027. The reversal of 13505510009 is 90001550531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10377904384 + 3127605625 = 101872^2 + 55925^2 .

It is a cyclic number.

It is not a de Polignac number, because 13505510009 - 2⁸ = 13505509753 is a prime.

It is not a weakly prime, because it can be changed into another prime (13505510069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6752755004 + 6752755005.

It is an arithmetic number, because the mean of its divisors is an integer number (6752755005).

Almost surely, 2^13505510009 is an apocalyptic number.

It is an amenable number.

13505510009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13505510009 is an equidigital number, since it uses as much as digits as its factorization.

13505510009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3375, while the sum is 29.

The spelling of 13505510009 in words is "thirteen billion, five hundred five million, five hundred ten thousand, nine".