1003025313 has 24 divisors (see below), whose sum is σ = 1538304768. Its totient is φ = 627599232.

The previous prime is 1003025281. The next prime is 1003025323. The reversal of 1003025313 is 3135203001.

1003025313 = 6082² + 6083² + ... + 6108².

1003025313 is a `hidden beast` number, since 100 + 30 + 2 + 531 + 3 = 666.

It is not a de Polignac number, because 1003025313 - 2⁵ = 1003025281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003025323) 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, 47220 + ... + 65082.

It is an arithmetic number, because the mean of its divisors is an integer number (64096032).

Almost surely, 2^1003025313 is an apocalyptic number.

It is an amenable number.

1003025313 is a deficient number, since it is larger than the sum of its proper divisors (535279455).

1003025313 is a wasteful number, since it uses less digits than its factorization.

1003025313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18253 (or 18250 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1003025313 is about 31670.5748763738. The cubic root of 1003025313 is about 1001.0074224259.

Adding to 1003025313 its reverse (3135203001), we get a palindrome (4138228314).

The spelling of 1003025313 in words is "one billion, three million, twenty-five thousand, three hundred thirteen".