13181952 has 88 divisors (see below), whose sum is σ = 40219456. Its totient is φ = 3760128.

The previous prime is 13181941. The next prime is 13181963. The reversal of 13181952 is 25918131.

It is an interprime number because it is at equal distance from previous prime (13181941) and next prime (13181963).

It is a nialpdrome in base 8.

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, 21198 + ... + 21810.

Almost surely, 2^13181952 is an apocalyptic number.

13181952 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 13181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109728).

13181952 is an abundant number, since it is smaller than the sum of its proper divisors (27037504).

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

13181952 is an equidigital number, since it uses as much as digits as its factorization.

13181952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 625 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 13181952 is about 3630.6958010828. The cubic root of 13181952 is about 236.2253903427.

The spelling of 13181952 in words is "thirteen million, one hundred eighty-one thousand, nine hundred fifty-two".