10251 has 12 divisors (see below), whose sum is σ = 15912. Its totient is φ = 6336.

The previous prime is 10247. The next prime is 10253. The reversal of 10251 is 15201.

It is a happy number.

It is not a de Polignac number, because 10251 - 2² = 10247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10251.

It is not an unprimeable number, because it can be changed into a prime (10253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120 + ... + 186.

It is an arithmetic number, because the mean of its divisors is an integer number (1326).

10251 is a Friedman number, since it can be written as 201*51, using all its digits and the basic arithmetic operations.

2¹⁰²⁵¹ is an apocalyptic number.

10251 is the 51-st decagonal number.

10251 is a deficient number, since it is larger than the sum of its proper divisors (5661).

10251 is a wasteful number, since it uses less digits than its factorization.

10251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10251 is about 101.2472221841. The cubic root of 10251 is about 21.7231138256.

Adding to 10251 its reverse (15201), we get a palindrome (25452).

Subtracting 10251 from its reverse (15201), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 102 and 51, that added together give a triangular number (153 = T₁₇).

The spelling of 10251 in words is "ten thousand, two hundred fifty-one".