1008601503873 has 16 divisors (see below), whose sum is σ = 1388839958016. Its totient is φ = 650402565120.

The previous prime is 1008601503817. The next prime is 1008601503907. The reversal of 1008601503873 is 3783051068001.

It is not a de Polignac number, because 1008601503873 - 2⁸ = 1008601503617 is a prime.

It is a super-2 number, since 2×1008601503873² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1008601503073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2369790 + ... + 2762807.

It is an arithmetic number, because the mean of its divisors is an integer number (86802497376).

Almost surely, 2^{1008601503873} is an apocalyptic number.

It is an amenable number.

1008601503873 is a deficient number, since it is larger than the sum of its proper divisors (380238454143).

1008601503873 is a wasteful number, since it uses less digits than its factorization.

1008601503873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134744.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 1008601503873 in words is "one trillion, eight billion, six hundred one million, five hundred three thousand, eight hundred seventy-three".