1001001001009 has 8 divisors (see below), whose sum is σ = 1053694455840. Its totient is φ = 948308465376.

The previous prime is 1001001000947. The next prime is 1001001001037. The reversal of 1001001001009 is 9001001001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001001001009 - 2¹⁷ = 1001000869937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001001001009.

It is not an unprimeable number, because it can be changed into a prime (1001001001309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4038234 + ... + 4278940.

It is an arithmetic number, because the mean of its divisors is an integer number (131711806980).

Almost surely, 2^{1001001001009} is an apocalyptic number.

1001001001009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1001001001009 is a deficient number, since it is larger than the sum of its proper divisors (52693454831).

1001001001009 is a wasteful number, since it uses less digits than its factorization.

1001001001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459599.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 1001001001009 in words is "one trillion, one billion, one million, one thousand, nine".