13389952 has 32 divisors (see below), whose sum is σ = 27059580. Its totient is φ = 6598656.

The previous prime is 13389919. The next prime is 13389953. The reversal of 13389952 is 25998331.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 602176 = 3576^2 + 776^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13389953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8628 + ... + 10060.

Almost surely, 2^13389952 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 13389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13529790).

13389952 is an abundant number, since it is smaller than the sum of its proper divisors (13669628).

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

13389952 is an equidigital number, since it uses as much as digits as its factorization.

13389952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1508 counting only the distinct ones).

The product of its digits is 58320, while the sum is 40.

The square root of 13389952 is about 3659.2283339524. The cubic root of 13389952 is about 237.4613905843.

It can be divided in two parts, 13389 and 952, that added together give a palindrome (14341).

The spelling of 13389952 in words is "thirteen million, three hundred eighty-nine thousand, nine hundred fifty-two".