1005010003 has 2 divisors, whose sum is σ = 1005010004. Its totient is φ = 1005010002.

The previous prime is 1005009989. The next prime is 1005010007. The reversal of 1005010003 is 3000105001.

It is a strong prime.

It is an emirp because it is prime and its reverse (3000105001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005010003 is a prime.

It is a super-2 number, since 2×1005010003² = 2020090212260120018, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005010007) 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 as a sum of consecutive naturals, namely, 502505001 + 502505002.

It is an arithmetic number, because the mean of its divisors is an integer number (502505002).

Almost surely, 2^1005010003 is an apocalyptic number.

1005010003 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005010003 is an equidigital number, since it uses as much as digits as its factorization.

1005010003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 1005010003 is about 31701.8927352926. The cubic root of 1005010003 is about 1001.6672198333.

Adding to 1005010003 its reverse (3000105001), we get a palindrome (4005115004).

The spelling of 1005010003 in words is "one billion, five million, ten thousand, three".