10553 has 4 divisors (see below), whose sum is σ = 10788. Its totient is φ = 10320.

The previous prime is 10531. The next prime is 10559. The reversal of 10553 is 35501.

10553 is nontrivially palindromic in base 7.

10553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 35501 = 131 ⋅271.

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 5929 = 68^2 + 77^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10553 is a prime.

It is a super-2 number, since 2×10553² = 222731618, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10559) 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 3 ways as a sum of consecutive naturals, for example, 26 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (2697).

2¹⁰⁵⁵³ is an apocalyptic number.

It is an amenable number.

10553 is a deficient number, since it is larger than the sum of its proper divisors (235).

10553 is an equidigital number, since it uses as much as digits as its factorization.

10553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 10553 is about 102.7277956543. The cubic root of 10553 is about 21.9343774556.

It can be divided in two parts, 105 and 53, that multiplied together give a triangular number (5565 = T₁₀₅).

The spelling of 10553 in words is "ten thousand, five hundred fifty-three".