13505324 has 48 divisors (see below), whose sum is σ = 28697088. Its totient is φ = 5436288.

The previous prime is 13505321. The next prime is 13505353. The reversal of 13505324 is 42350531.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 13505324.

It is not an unprimeable number, because it can be changed into a prime (13505321) 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, 42992 + ... + 43304.

It is an arithmetic number, because the mean of its divisors is an integer number (597856).

Almost surely, 2^13505324 is an apocalyptic number.

13505324 is a gapful number since it is divisible by the number (14) 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 13505324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348544).

13505324 is an abundant number, since it is smaller than the sum of its proper divisors (15191764).

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

13505324 is a wasteful number, since it uses less digits than its factorization.

13505324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 13505324 is about 3674.9590473909. The cubic root of 13505324 is about 238.1414548784.

Adding to 13505324 its reverse (42350531), we get a palindrome (55855855).

The spelling of 13505324 in words is "thirteen million, five hundred five thousand, three hundred twenty-four".