13305253 has 8 divisors (see below), whose sum is σ = 14427000. Its totient is φ = 12197568.

The previous prime is 13305241. The next prime is 13305307. The reversal of 13305253 is 35250331.

It is a happy number.

13305253 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1595169 + 11710084 = 1263^2 + 3422^2 .

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 13305253 - 2⁵ = 13305221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1498 + ... + 5371.

It is an arithmetic number, because the mean of its divisors is an integer number (1803375).

Almost surely, 2^13305253 is an apocalyptic number.

13305253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13305253 is a deficient number, since it is larger than the sum of its proper divisors (1121747).

13305253 is a wasteful number, since it uses less digits than its factorization.

13305253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031.

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 13305253 is about 3647.6366321222. The cubic root of 13305253 is about 236.9596387202.

Adding to 13305253 its reverse (35250331), we get a palindrome (48555584).

The spelling of 13305253 in words is "thirteen million, three hundred five thousand, two hundred fifty-three".