13288506 has 64 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 3445680.

The previous prime is 13288493. The next prime is 13288507. The reversal of 13288506 is 60588231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13288507) 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 31 ways as a sum of consecutive naturals, for example, 22345 + ... + 22931.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 2^13288506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13288506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

13288506 is an abundant number, since it is smaller than the sum of its proper divisors (20580294).

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

13288506 is a wasteful number, since it uses less digits than its factorization.

13288506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 13288506 is about 3645.3403133315. The cubic root of 13288506 is about 236.8601785246.

The spelling of 13288506 in words is "thirteen million, two hundred eighty-eight thousand, five hundred six".