53253 has 12 divisors (see below), whose sum is σ = 78988. Its totient is φ = 34560.

The previous prime is 53239. The next prime is 53267. The reversal of 53253 is 35235.

It is an interprime number because it is at equal distance from previous prime (53239) and next prime (53267).

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 42849 = 102^2 + 207^2 .

It is not a de Polignac number, because 53253 - 2⁶ = 53189 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53233) 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, 501 + ... + 597.

2⁵³²⁵³ is an apocalyptic number.

It is an amenable number.

53253 is a deficient number, since it is larger than the sum of its proper divisors (25735).

53253 is a wasteful number, since it uses less digits than its factorization.

53253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 161 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 53253 is about 230.7661153636. The cubic root of 53253 is about 37.6225325181.

Subtracting from 53253 its sum of digits (18), we obtain a palindrome (53235).

Adding to 53253 its reverse (35235), we get a palindrome (88488).

It can be divided in two parts, 532 and 53, that added together give a palindrome (585).

The spelling of 53253 in words is "fifty-three thousand, two hundred fifty-three".