13205532 has 48 divisors (see below), whose sum is σ = 34352640. Its totient is φ = 3923712.

The previous prime is 13205531. The next prime is 13205537. The reversal of 13205532 is 23550231.

It is a junction number, because it is equal to n+sod(n) for n = 13205499 and 13205508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2173 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (715680).

Almost surely, 2^13205532 is an apocalyptic number.

13205532 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 13205532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176320).

13205532 is an abundant number, since it is smaller than the sum of its proper divisors (21147108).

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

13205532 is a wasteful number, since it uses less digits than its factorization.

13205532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 13205532 is about 3633.9416616121. The cubic root of 13205532 is about 236.3661605074.

Adding to 13205532 its reverse (23550231), we get a palindrome (36755763).

The spelling of 13205532 in words is "thirteen million, two hundred five thousand, five hundred thirty-two".