13253765 has 24 divisors (see below), whose sum is σ = 18911232. Its totient is φ = 8887200.

The previous prime is 13253759. The next prime is 13253767. The reversal of 13253765 is 56735231.

It is not a de Polignac number, because 13253765 - 2⁴ = 13253749 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 (13253767) 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 23 ways as a sum of consecutive naturals, for example, 10940 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (787968).

Almost surely, 2^13253765 is an apocalyptic number.

It is an amenable number.

13253765 is a deficient number, since it is larger than the sum of its proper divisors (5657467).

13253765 is a wasteful number, since it uses less digits than its factorization.

13253765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1210 counting only the distinct ones).

The product of its digits is 18900, while the sum is 32.

The square root of 13253765 is about 3640.5720704307. The cubic root of 13253765 is about 236.6535854261.

Adding to 13253765 its reverse (56735231), we get a palindrome (69988996).

The spelling of 13253765 in words is "thirteen million, two hundred fifty-three thousand, seven hundred sixty-five".