1003365413 has 2 divisors, whose sum is σ = 1003365414. Its totient is φ = 1003365412.

The previous prime is 1003365343. The next prime is 1003365431. The reversal of 1003365413 is 3145633001.

1003365413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (1003365431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 586511524 + 416853889 = 24218^2 + 20417^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003365413 - 2⁸ = 1003365157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003367413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501682706 + 501682707.

It is an arithmetic number, because the mean of its divisors is an integer number (501682707).

Almost surely, 2^1003365413 is an apocalyptic number.

It is an amenable number.

1003365413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003365413 is an equidigital number, since it uses as much as digits as its factorization.

1003365413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 1003365413 is about 31675.9437586317. The cubic root of 1003365413 is about 1001.1205482360.

Adding to 1003365413 its reverse (3145633001), we get a palindrome (4148998414).

The spelling of 1003365413 in words is "one billion, three million, three hundred sixty-five thousand, four hundred thirteen".