10002775009 has 2 divisors, whose sum is σ = 10002775010. Its totient is φ = 10002775008.

The previous prime is 10002775007. The next prime is 10002775019. The reversal of 10002775009 is 90057720001.

10002775009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8839760400 + 1163014609 = 94020^2 + 34103^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002775009 - 2¹ = 10002775007 is a prime.

Together with 10002775007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10002775007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001387504 + 5001387505.

It is an arithmetic number, because the mean of its divisors is an integer number (5001387505).

Almost surely, 2^10002775009 is an apocalyptic number.

It is an amenable number.

10002775009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002775009 is an equidigital number, since it uses as much as digits as its factorization.

10002775009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 31.

The spelling of 10002775009 in words is "ten billion, two million, seven hundred seventy-five thousand, nine".