13735253 has 8 divisors (see below), whose sum is σ = 15720000. Its totient is φ = 11756160.

The previous prime is 13735247. The next prime is 13735261. The reversal of 13735253 is 35253731.

13735253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13735253 - 2⁴ = 13735237 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 (13735223) 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, 7958 + ... + 9528.

It is an arithmetic number, because the mean of its divisors is an integer number (1965000).

Almost surely, 2^13735253 is an apocalyptic number.

It is an amenable number.

13735253 is a deficient number, since it is larger than the sum of its proper divisors (1984747).

13735253 is a wasteful number, since it uses less digits than its factorization.

13735253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827.

The product of its digits is 9450, while the sum is 29.

The square root of 13735253 is about 3706.1102250203. The cubic root of 13735253 is about 239.4853148598.

Adding to 13735253 its reverse (35253731), we get a palindrome (48988984).

The spelling of 13735253 in words is "thirteen million, seven hundred thirty-five thousand, two hundred fifty-three".