13513272 has 64 divisors (see below), whose sum is σ = 35804160. Its totient is φ = 4243200.

The previous prime is 13513267. The next prime is 13513277. The reversal of 13513272 is 27231531.

It is an interprime number because it is at equal distance from previous prime (13513267) and next prime (13513277).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13513277) 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 15 ways as a sum of consecutive naturals, for example, 30283 + ... + 30725.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 2^13513272 is an apocalyptic number.

13513272 is a gapful number since it is divisible by the number (12) 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 13513272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902080).

13513272 is an abundant number, since it is smaller than the sum of its proper divisors (22290888).

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

13513272 is a wasteful number, since it uses less digits than its factorization.

13513272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 13513272 is about 3676.0402609330. The cubic root of 13513272 is about 238.1881618192.

The spelling of 13513272 in words is "thirteen million, five hundred thirteen thousand, two hundred seventy-two".