1004144113 has 24 divisors (see below), whose sum is σ = 1181984832. Its totient is φ = 850528224.

The previous prime is 1004144107. The next prime is 1004144171. The reversal of 1004144113 is 3114414001.

It is not a de Polignac number, because 1004144113 - 2⁵ = 1004144081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004144173) 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, 2266470 + ... + 2266912.

It is an arithmetic number, because the mean of its divisors is an integer number (49249368).

Almost surely, 2^1004144113 is an apocalyptic number.

It is an amenable number.

1004144113 is a deficient number, since it is larger than the sum of its proper divisors (177840719).

1004144113 is a wasteful number, since it uses less digits than its factorization.

1004144113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1004144113 is about 31688.2330368861. The cubic root of 1004144113 is about 1001.3794671952.

Adding to 1004144113 its reverse (3114414001), we get a palindrome (4118558114).

The spelling of 1004144113 in words is "one billion, four million, one hundred forty-four thousand, one hundred thirteen".