13580253 has 12 divisors (see below), whose sum is σ = 19664320. Its totient is φ = 9031176.

The previous prime is 13580233. The next prime is 13580261. The reversal of 13580253 is 35208531.

It is not a de Polignac number, because 13580253 - 2⁸ = 13579997 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 (13580233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2538 + ... + 5796.

Almost surely, 2^13580253 is an apocalyptic number.

It is an amenable number.

13580253 is a deficient number, since it is larger than the sum of its proper divisors (6084067).

13580253 is a wasteful number, since it uses less digits than its factorization.

13580253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13580253 is about 3685.1394817564. The cubic root of 13580253 is about 238.5810544224.

Adding to 13580253 its reverse (35208531), we get a palindrome (48788784).

The spelling of 13580253 in words is "thirteen million, five hundred eighty thousand, two hundred fifty-three".