1013003253 has 20 divisors (see below), whose sum is σ = 1519560108. Its totient is φ = 672520320.

The previous prime is 1013003239. The next prime is 1013003317. The reversal of 1013003253 is 3523003101.

It can be written as a sum of positive squares in 2 ways, for example, as 385651044 + 627352209 = 19638^2 + 25047^2 .

It is not a de Polignac number, because 1013003253 - 2⁸ = 1013002997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013003203) 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 19 ways as a sum of consecutive naturals, for example, 6426 + ... + 45467.

Almost surely, 2^1013003253 is an apocalyptic number.

It is an amenable number.

1013003253 is a deficient number, since it is larger than the sum of its proper divisors (506556855).

1013003253 is an equidigital number, since it uses as much as digits as its factorization.

1013003253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52146 (or 52137 counting only the distinct ones).

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

The square root of 1013003253 is about 31827.7120289851. The cubic root of 1013003253 is about 1004.3157650439.

Adding to 1013003253 its reverse (3523003101), we get a palindrome (4536006354).

The spelling of 1013003253 in words is "one billion, thirteen million, three thousand, two hundred fifty-three".