900000011 has 2 divisors, whose sum is σ = 900000012. Its totient is φ = 900000010.

The previous prime is 899999963. The next prime is 900000041. The reversal of 900000011 is 110000009.

900000011 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 is a cyclic number.

It is not a de Polignac number, because 900000011 - 2¹⁴ = 899983627 is a prime.

900000011 is a modest number, since divided by 11 gives 9 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 899999938 and 900000001.

It is not a weakly prime, because it can be changed into another prime (900000041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450000005 + 450000006.

It is an arithmetic number, because the mean of its divisors is an integer number (450000006).

Almost surely, 2^900000011 is an apocalyptic number.

900000011 is a deficient number, since it is larger than the sum of its proper divisors (1).

900000011 is an equidigital number, since it uses as much as digits as its factorization.

900000011 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 11.

The square root of 900000011 is about 30000.0001833333. Note that the first 3 decimals coincide. The cubic root of 900000011 is about 965.4893885391.

Subtracting from 900000011 its sum of digits (11), we obtain a square (900000000 = 30000²).

The spelling of 900000011 in words is "nine hundred million, eleven", and thus it is an aban number.