13053456 has 120 divisors (see below), whose sum is σ = 41525120. Its totient is φ = 3794688.

The previous prime is 13053431. The next prime is 13053461. The reversal of 13053456 is 65435031.

13053456 is nontrivially palindromic in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35385 + ... + 35751.

Almost surely, 2^13053456 is an apocalyptic number.

13053456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13053456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20762560).

13053456 is an abundant number, since it is smaller than the sum of its proper divisors (28471664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13053456 is a wasteful number, since it uses less digits than its factorization.

13053456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 13053456 is about 3612.9566839363. The cubic root of 13053456 is about 235.4553176347.

Adding to 13053456 its reverse (65435031), we get a palindrome (78488487).

It can be divided in two parts, 1305 and 3456, that added together give a square (4761 = 69²).

The spelling of 13053456 in words is "thirteen million, fifty-three thousand, four hundred fifty-six".