13288500 has 72 divisors (see below), whose sum is σ = 41934984. Its totient is φ = 3542400.

The previous prime is 13288493. The next prime is 13288507. The reversal of 13288500 is 588231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13288493) and next prime (13288507).

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 13264164 = 156^2 + 3642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13288507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024 + ... + 5976.

Almost surely, 2^13288500 is an apocalyptic number.

13288500 is a gapful number since it is divisible by the number (10) 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 13288500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20967492).

13288500 is an abundant number, since it is smaller than the sum of its proper divisors (28646484).

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

13288500 is a wasteful number, since it uses less digits than its factorization.

13288500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13288500 is about 3645.3394903630. The cubic root of 13288500 is about 236.8601428758.

The spelling of 13288500 in words is "thirteen million, two hundred eighty-eight thousand, five hundred".