10053 has 6 divisors (see below), whose sum is σ = 14534. Its totient is φ = 6696.

The previous prime is 10039. The next prime is 10061. The reversal of 10053 is 35001.

10053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6084 + 3969 = 78^2 + 63^2 .

It is not a de Polignac number, because 10053 - 2⁴ = 10037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1117 = 10053 / (1 + 0 + 0 + 5 + 3).

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 12.

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 10053.

It is not an unprimeable number, because it can be changed into a prime (10093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550 + ... + 567.

2¹⁰⁰⁵³ is an apocalyptic number.

It is an amenable number.

10053 is a deficient number, since it is larger than the sum of its proper divisors (4481).

10053 is a wasteful number, since it uses less digits than its factorization.

10053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 10053 is about 100.2646498024. The cubic root of 10053 is about 21.5823415348.

Adding to 10053 its reverse (35001), we get a palindrome (45054).

It can be divided in two parts, 100 and 53, that added together give a triangular number (153 = T₁₇).

The spelling of 10053 in words is "ten thousand, fifty-three".