1003513 has 12 divisors (see below), whose sum is σ = 1203328. Its totient is φ = 819720.

The previous prime is 1003507. The next prime is 1003517. The reversal of 1003513 is 3153001.

It is not a de Polignac number, because 1003513 - 2⁹ = 1003001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003493 and 1003502.

It is not an unprimeable number, because it can be changed into a prime (1003517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3568 + ... + 3838.

2^1003513 is an apocalyptic number.

It is an amenable number.

1003513 is a deficient number, since it is larger than the sum of its proper divisors (199815).

1003513 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (1003514) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (301).

1003513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 1003513 is about 1001.7549600576. The cubic root of 1003513 is about 100.1169631429.

Adding to 1003513 its reverse (3153001), we get a palindrome (4156514).

The spelling of 1003513 in words is "one million, three thousand, five hundred thirteen".