13082952 has 64 divisors (see below), whose sum is σ = 34577280. Its totient is φ = 4116992.

The previous prime is 13082939. The next prime is 13082959. The reversal of 13082952 is 25928031.

It is a happy number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13082959) 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, 75538 + ... + 75710.

It is an arithmetic number, because the mean of its divisors is an integer number (540270).

Almost surely, 2^13082952 is an apocalyptic number.

13082952 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 13082952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17288640).

13082952 is an abundant number, since it is smaller than the sum of its proper divisors (21494328).

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

13082952 is a wasteful number, since it uses less digits than its factorization.

13082952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13082952 is about 3617.0363559135. The cubic root of 13082952 is about 235.6325316376.

The spelling of 13082952 in words is "thirteen million, eighty-two thousand, nine hundred fifty-two".