13005952 has 64 divisors (see below), whose sum is σ = 28274400. Its totient is φ = 5935104.

The previous prime is 13005931. The next prime is 13005997. The reversal of 13005952 is 25950031.

13005952 = T₃₈₃ + T₃₈₄ + ... + T₅₁₁.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93499 + ... + 93637.

Almost surely, 2^13005952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137200).

13005952 is an abundant number, since it is smaller than the sum of its proper divisors (15268448).

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

13005952 is a wasteful number, since it uses less digits than its factorization.

13005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 13005952 is about 3606.3765749017. The cubic root of 13005952 is about 235.1693482816.

Adding to 13005952 its reverse (25950031), we get a palindrome (38955983).

The spelling of 13005952 in words is "thirteen million, five thousand, nine hundred fifty-two".