13513005 has 24 divisors (see below), whose sum is σ = 25552800. Its totient is φ = 6551520.

The previous prime is 13512997. The next prime is 13513007. The reversal of 13513005 is 50031531.

It is a happy number.

13513005 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13513005 - 2³ = 13512997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13513007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13155 + ... + 14144.

It is an arithmetic number, because the mean of its divisors is an integer number (1064700).

Almost surely, 2^13513005 is an apocalyptic number.

13513005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13513005 is a deficient number, since it is larger than the sum of its proper divisors (12039795).

13513005 is a wasteful number, since it uses less digits than its factorization.

13513005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27321 (or 27318 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13513005 is about 3676.0039445028. The cubic root of 13513005 is about 238.1865930736.

Adding to 13513005 its reverse (50031531), we get a palindrome (63544536).

It can be divided in two parts, 1351 and 3005, that added together give a square (4356 = 66²).

The spelling of 13513005 in words is "thirteen million, five hundred thirteen thousand, five".