9009901000 has 32 divisors (see below), whose sum is σ = 21083170680. Its totient is φ = 3603960000.

The previous prime is 9009900959. The next prime is 9009901057. The reversal of 9009901000 is 1099009.

It can be written as a sum of positive squares in 4 ways, for example, as 4085510724 + 4924390276 = 63918^2 + 70174^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9009901000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4503951 + ... + 4505950.

Almost surely, 2^9009901000 is an apocalyptic number.

It is an amenable number.

9009901000 is an abundant number, since it is smaller than the sum of its proper divisors (12073269680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9009901000 is a wasteful number, since it uses less digits than its factorization.

9009901000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9009922 (or 9009908 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 28.

The square root of 9009901000 is about 94920.4983130620. The cubic root of 9009901000 is about 2080.8463179524.

The spelling of 9009901000 in words is "nine billion, nine million, nine hundred one thousand".