10253 has 2 divisors, whose sum is σ = 10254. Its totient is φ = 10252.

The previous prime is 10247. The next prime is 10259. The reversal of 10253 is 35201.

10253 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10247) and next prime (10259).

It can be written as a sum of positive squares in only one way, i.e., 6889 + 3364 = 83^2 + 58^2 .

It is an emirp because it is prime and its reverse (35201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10253 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10259) 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 as a sum of consecutive naturals, namely, 5126 + 5127.

It is an arithmetic number, because the mean of its divisors is an integer number (5127).

2¹⁰²⁵³ is an apocalyptic number.

It is an amenable number.

10253 is a deficient number, since it is larger than the sum of its proper divisors (1).

10253 is an equidigital number, since it uses as much as digits as its factorization.

10253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 10253 is about 101.2570985166. The cubic root of 10253 is about 21.7245264814.

Adding to 10253 its reverse (35201), we get a palindrome (45454).

The spelling of 10253 in words is "ten thousand, two hundred fifty-three".