1008971091117 has 32 divisors (see below), whose sum is σ = 1645091026560. Its totient is φ = 606086127360.

The previous prime is 1008971091043. The next prime is 1008971091133. The reversal of 1008971091117 is 7111901798001.

It is a happy number.

It is not a de Polignac number, because 1008971091117 - 2¹⁵ = 1008971058349 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008971191117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14998338 + ... + 15065459.

It is an arithmetic number, because the mean of its divisors is an integer number (51409094580).

Almost surely, 2^{1008971091117} is an apocalyptic number.

It is an amenable number.

1008971091117 is a deficient number, since it is larger than the sum of its proper divisors (636119935443).

1008971091117 is a wasteful number, since it uses less digits than its factorization.

1008971091117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30063930 (or 30063924 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 45.

The spelling of 1008971091117 in words is "one trillion, eight billion, nine hundred seventy-one million, ninety-one thousand, one hundred seventeen".