13565952 has 102 divisors (see below), whose sum is σ = 40894152. Its totient is φ = 4325376.

The previous prime is 13565897. The next prime is 13565953. The reversal of 13565952 is 25956531.

13565952 is a `hidden beast` number, since 1 + 3 + 565 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (13565953) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589813 + ... + 589835.

Almost surely, 2^13565952 is an apocalyptic number.

13565952 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 13565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20447076).

13565952 is an abundant number, since it is smaller than the sum of its proper divisors (27328200).

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

13565952 is an frugal number, since it uses more digits than its factorization.

13565952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 13565952 is about 3683.1986099042. The cubic root of 13565952 is about 238.4972772391.

The spelling of 13565952 in words is "thirteen million, five hundred sixty-five thousand, nine hundred fifty-two".