1002117317889 has 24 divisors (see below), whose sum is σ = 1411170720960. Its totient is φ = 632472315552.

The previous prime is 1002117317881. The next prime is 1002117317909. The reversal of 1002117317889 is 9887137112001.

It is not a de Polignac number, because 1002117317889 - 2³ = 1002117317881 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1002117317881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1223844 + ... + 1871370.

It is an arithmetic number, because the mean of its divisors is an integer number (58798780040).

Almost surely, 2^{1002117317889} is an apocalyptic number.

1002117317889 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1002117317889 is a deficient number, since it is larger than the sum of its proper divisors (409053403071).

1002117317889 is a wasteful number, since it uses less digits than its factorization.

1002117317889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648997 (or 648978 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 48.

The spelling of 1002117317889 in words is "one trillion, two billion, one hundred seventeen million, three hundred seventeen thousand, eight hundred eighty-nine".