13025952 has 72 divisors (see below), whose sum is σ = 38263680. Its totient is φ = 4199040.

The previous prime is 13025933. The next prime is 13025953. The reversal of 13025952 is 25952031.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (13025953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8199 + ... + 9657.

It is an arithmetic number, because the mean of its divisors is an integer number (531440).

Almost surely, 2^13025952 is an apocalyptic number.

13025952 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 13025952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

13025952 is an abundant number, since it is smaller than the sum of its proper divisors (25237728).

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

13025952 is a wasteful number, since it uses less digits than its factorization.

13025952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 13025952 is about 3609.1483760023. The cubic root of 13025952 is about 235.2898310199.

Adding to 13025952 its reverse (25952031), we get a palindrome (38977983).

The spelling of 13025952 in words is "thirteen million, twenty-five thousand, nine hundred fifty-two".