13001532 has 72 divisors (see below), whose sum is σ = 33833856. Its totient is φ = 3877632.

The previous prime is 13001531. The next prime is 13001533. The reversal of 13001532 is 23510031.

It is a happy number.

13001532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13001531) and next prime (13001533).

It is a super-3 number, since 3×13001532³ (a number of 22 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001531) 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, 79683 + ... + 79845.

Almost surely, 2^13001532 is an apocalyptic number.

13001532 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 13001532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916928).

13001532 is an abundant number, since it is smaller than the sum of its proper divisors (20832324).

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

13001532 is a wasteful number, since it uses less digits than its factorization.

13001532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13001532 is about 3605.7637193804. The cubic root of 13001532 is about 235.1427049342.

Adding to 13001532 its reverse (23510031), we get a palindrome (36511563).

The spelling of 13001532 in words is "thirteen million, one thousand, five hundred thirty-two".