1005002004 has 24 divisors (see below), whose sum is σ = 2402201088. Its totient is φ = 326829760.

The previous prime is 1005001981. The next prime is 1005002021. The reversal of 1005002004 is 4002005001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1020852 + ... + 1021835.

It is an arithmetic number, because the mean of its divisors is an integer number (100091712).

Almost surely, 2^1005002004 is an apocalyptic number.

It is an amenable number.

1005002004 is an abundant number, since it is smaller than the sum of its proper divisors (1397199084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005002004 is a wasteful number, since it uses less digits than its factorization.

1005002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042735 (or 2042733 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1005002004 is about 31701.7665753819. The cubic root of 1005002004 is about 1001.6645623614.

Adding to 1005002004 its reverse (4002005001), we get a palindrome (5007007005).

The spelling of 1005002004 in words is "one billion, five million, two thousand, four".