1009091001000 has 64 divisors (see below), whose sum is σ = 3148363932480. Its totient is φ = 269090932800.

The previous prime is 1009091000999. The next prime is 1009091001013. The reversal of 1009091001000 is 1001909001.

1009091001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168178834 + ... + 168184833.

It is an arithmetic number, because the mean of its divisors is an integer number (49193186445).

Almost surely, 2^{1009091001000} is an apocalyptic number.

1009091001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009091001000 is an abundant number, since it is smaller than the sum of its proper divisors (2139272931480).

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

1009091001000 is a wasteful number, since it uses less digits than its factorization.

1009091001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336363691 (or 336363677 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 21.

The spelling of 1009091001000 in words is "one trillion, nine billion, ninety-one million, one thousand".