1003004001 has 12 divisors (see below), whose sum is σ = 1453087012. Its totient is φ = 666683136.

The previous prime is 1003003999. The next prime is 1003004059. The reversal of 1003004001 is 1004003001.

It can be written as a sum of positive squares in 2 ways, for example, as 254434401 + 748569600 = 15951^2 + 27360^2 .

It is not a de Polignac number, because 1003004001 - 2¹ = 1003003999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003004501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162316 + ... + 168381.

Almost surely, 2^1003004001 is an apocalyptic number.

It is an amenable number.

1003004001 is a deficient number, since it is larger than the sum of its proper divisors (450083011).

1003004001 is a wasteful number, since it uses less digits than its factorization.

1003004001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331040 (or 331037 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1003004001 is about 31670.2384108488. The cubic root of 1003004001 is about 1001.0003326676. Note that the first 3 decimals are identical.

Adding to 1003004001 its reverse (1004003001), we get a palindrome (2007007002).

The spelling of 1003004001 in words is "one billion, three million, four thousand, one".