53053 has 16 divisors (see below), whose sum is σ = 72576. Its totient is φ = 37440.

The previous prime is 53051. The next prime is 53069. The reversal of 53053 is 35035.

It is a happy number.

It is not a de Polignac number, because 53053 - 2¹ = 53051 is a prime.

It is a super-3 number, since 3×53053³ = 447972233339631, which contains 333 as substring.

53053 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975 + ... + 1027.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2⁵³⁰⁵³ is an apocalyptic number.

53053 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

53053 is a deficient number, since it is larger than the sum of its proper divisors (19523).

53053 is a wasteful number, since it uses less digits than its factorization.

53053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 53053 is about 230.3323685460. The cubic root of 53053 is about 37.5753743234.

Multiplying 53053 by its sum of digits (16), we get a palindrome (848848).

Adding to 53053 its reverse (35035), we get a palindrome (88088).

The spelling of 53053 in words is "fifty-three thousand, fifty-three".