900090090017 has 2 divisors, whose sum is σ = 900090090018. Its totient is φ = 900090090016.

The previous prime is 900090089959. The next prime is 900090090127. The reversal of 900090090017 is 710090090009.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 817489030801 + 82601059216 = 904151^2 + 287404^2 .

It is a cyclic number.

It is not a de Polignac number, because 900090090017 - 2²⁸ = 899821654561 is a prime.

It is a super-2 number, since 2×900090090017² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (900090090517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450045045008 + 450045045009.

It is an arithmetic number, because the mean of its divisors is an integer number (450045045009).

Almost surely, 2^900090090017 is an apocalyptic number.

It is an amenable number.

900090090017 is a deficient number, since it is larger than the sum of its proper divisors (1).

900090090017 is an equidigital number, since it uses as much as digits as its factorization.

900090090017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5103, while the sum is 35.

The spelling of 900090090017 in words is "nine hundred billion, ninety million, ninety thousand, seventeen".