10013504 has 28 divisors (see below), whose sum is σ = 20087844. Its totient is φ = 4952064.

The previous prime is 10013501. The next prime is 10013519. The reversal of 10013504 is 40531001.

It can be written as a sum of positive squares in 2 ways, for example, as 5382400 + 4631104 = 2320^2 + 2152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5402 + ... + 7014.

It is an arithmetic number, because the mean of its divisors is an integer number (717423).

Almost surely, 2^10013504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10043922).

10013504 is an abundant number, since it is smaller than the sum of its proper divisors (10074340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10013504 is an equidigital number, since it uses as much as digits as its factorization.

10013504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10013504 is about 3164.4121096975. The cubic root of 10013504 is about 215.5404036696.

Adding to 10013504 its reverse (40531001), we get a palindrome (50544505).

The spelling of 10013504 in words is "ten million, thirteen thousand, five hundred four".