13251000 has 128 divisors (see below), whose sum is σ = 47324160. Its totient is φ = 3024000.

The previous prime is 13250989. The next prime is 13251001. The reversal of 13251000 is 15231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13251001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20685 + ... + 21315.

It is an arithmetic number, because the mean of its divisors is an integer number (369720).

Almost surely, 2^13251000 is an apocalyptic number.

13251000 is a gapful number since it is divisible by the number (10) 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 13251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23662080).

13251000 is an abundant number, since it is smaller than the sum of its proper divisors (34073160).

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

13251000 is a wasteful number, since it uses less digits than its factorization.

13251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 13251000 is about 3640.1923026126. The cubic root of 13251000 is about 236.6371273939.

Adding to 13251000 its reverse (15231), we get a palindrome (13266231).

The spelling of 13251000 in words is "thirteen million, two hundred fifty-one thousand".