13251 has 8 divisors (see below), whose sum is σ = 20224. Its totient is φ = 7560.

The previous prime is 13249. The next prime is 13259. The reversal of 13251 is 15231.

13251 = T₅₈ + T₅₉ + ... + T₆₄.

13251 = 24² + 25² + ... + 37².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13251 - 2¹ = 13249 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13251.

It is not an unprimeable number, because it can be changed into a prime (13259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (2528).

2¹³²⁵¹ is an apocalyptic number.

13251 is a deficient number, since it is larger than the sum of its proper divisors (6973).

13251 is an equidigital number, since it uses as much as digits as its factorization.

13251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641.

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

The square root of 13251 is about 115.1129879727. The cubic root of 13251 is about 23.6637127394.

Adding to 13251 its reverse (15231), we get a palindrome (28482).

It can be divided in two parts, 1325 and 1, that added together give a triangular number (1326 = T₅₁).

The spelling of 13251 in words is "thirteen thousand, two hundred fifty-one".