10003513 has 8 divisors (see below), whose sum is σ = 10885448. Its totient is φ = 9137664.

The previous prime is 10003501. The next prime is 10003517. The reversal of 10003513 is 31530001.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 9966649 = 192^2 + 3157^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10003513 - 2⁹ = 10003001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10003493 and 10003502.

It is not an unprimeable number, because it can be changed into a prime (10003517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2706 + ... + 5227.

It is an arithmetic number, because the mean of its divisors is an integer number (1360681).

Almost surely, 2^10003513 is an apocalyptic number.

10003513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10003513 is a deficient number, since it is larger than the sum of its proper divisors (881935).

10003513 is an equidigital number, since it uses as much as digits as its factorization.

10003513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8043.

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

The square root of 10003513 is about 3162.8330654652. The cubic root of 10003513 is about 215.4686944797.

Adding to 10003513 its reverse (31530001), we get a palindrome (41533514).

The spelling of 10003513 in words is "ten million, three thousand, five hundred thirteen".