900090092009 has 2 divisors, whose sum is σ = 900090092010. Its totient is φ = 900090092008.

The previous prime is 900090091939. The next prime is 900090092059. The reversal of 900090092009 is 900290090009.

900090092009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 885321037225 + 14769054784 = 940915^2 + 121528^2 .

It is a cyclic number.

It is not a de Polignac number, because 900090092009 - 2²⁸ = 899821656553 is a prime.

It is not a weakly prime, because it can be changed into another prime (900090092059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450045046004 + 450045046005.

It is an arithmetic number, because the mean of its divisors is an integer number (450045046005).

Almost surely, 2^900090092009 is an apocalyptic number.

It is an amenable number.

900090092009 is a deficient number, since it is larger than the sum of its proper divisors (1).

900090092009 is an equidigital number, since it uses as much as digits as its factorization.

900090092009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13122, while the sum is 38.

It can be divided in two parts, 9000900 and 92009, that added together give a palindrome (9092909).

The spelling of 900090092009 in words is "nine hundred billion, ninety million, ninety-two thousand, nine".