900000000001 has 4 divisors (see below), whose sum is σ = 900002052400. Its totient is φ = 899997947604.

The previous prime is 899999999981. The next prime is 900000000013. The reversal of 900000000001 is 100000000009.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 900000000001 - 2¹³ = 899999991809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 899999999897 and 899999999906.

It is not an unprimeable number, because it can be changed into a prime (900000040001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73791 + ... + 1343668.

It is an arithmetic number, because the mean of its divisors is an integer number (225000513100).

Almost surely, 2^900000000001 is an apocalyptic number.

It is an amenable number.

900000000001 is a deficient number, since it is larger than the sum of its proper divisors (2052399).

900000000001 is a wasteful number, since it uses less digits than its factorization.

900000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052398.

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

The spelling of 900000000001 in words is "nine hundred billion, one", and thus it is an aban number.