1007842613117 has 16 divisors (see below), whose sum is σ = 1019444275200. Its totient is φ = 996277676400.

The previous prime is 1007842613101. The next prime is 1007842613119. The reversal of 1007842613117 is 7113162487001.

It is not a de Polignac number, because 1007842613117 - 2⁴ = 1007842613101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007842613119) 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 15 ways as a sum of consecutive naturals, for example, 162578384 + ... + 162584582.

It is an arithmetic number, because the mean of its divisors is an integer number (63715267200).

Almost surely, 2^{1007842613117} is an apocalyptic number.

It is an amenable number.

1007842613117 is a deficient number, since it is larger than the sum of its proper divisors (11601662083).

1007842613117 is a wasteful number, since it uses less digits than its factorization.

1007842613117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8864.

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 1007842613117 in words is "one trillion, seven billion, eight hundred forty-two million, six hundred thirteen thousand, one hundred seventeen".