900111712009 has 2 divisors, whose sum is σ = 900111712010. Its totient is φ = 900111712008.

The previous prime is 900111711977. The next prime is 900111712099. The reversal of 900111712009 is 900217111009.

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., 494855971600 + 405255740409 = 703460^2 + 636597^2 .

It is a cyclic number.

It is not a de Polignac number, because 900111712009 - 2⁵ = 900111711977 is a prime.

It is a super-3 number, since 3×900111712009³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (900111712099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450055856004 + 450055856005.

It is an arithmetic number, because the mean of its divisors is an integer number (450055856005).

Almost surely, 2^900111712009 is an apocalyptic number.

It is an amenable number.

900111712009 is a deficient number, since it is larger than the sum of its proper divisors (1).

900111712009 is an equidigital number, since it uses as much as digits as its factorization.

900111712009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 31.

The spelling of 900111712009 in words is "nine hundred billion, one hundred eleven million, seven hundred twelve thousand, nine".