9000000001 has 2 divisors, whose sum is σ = 9000000002. Its totient is φ = 9000000000.

The previous prime is 8999999993. The next prime is 9000000043. The reversal of 9000000001 is 1000000009.

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., 6348264976 + 2651735025 = 79676^2 + 51495^2 .

It is an emirp because it is prime and its reverse (1000000009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9000000001 - 2³ = 8999999993 is a prime.

It is not a weakly prime, because it can be changed into another prime (9000000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4500000000 + 4500000001.

It is an arithmetic number, because the mean of its divisors is an integer number (4500000001).

Almost surely, 2^9000000001 is an apocalyptic number.

It is an amenable number.

9000000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9000000001 is an equidigital number, since it uses as much as digits as its factorization.

9000000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 9000000001 is about 94868.3298103218. The cubic root of 9000000001 is about 2080.0838231289.

The spelling of 9000000001 in words is "nine billion, one", and thus it is an aban number and an uban number.