53252 has 6 divisors (see below), whose sum is σ = 93198. Its totient is φ = 26624.

The previous prime is 53239. The next prime is 53267. The reversal of 53252 is 25235.

53252 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 10816 = 206^2 + 104^2 .

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 53252.

It is an unprimeable number.

53252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6653 + ... + 6660.

It is an arithmetic number, because the mean of its divisors is an integer number (15533).

2⁵³²⁵² is an apocalyptic number.

It is an amenable number.

53252 is a deficient number, since it is larger than the sum of its proper divisors (39946).

53252 is a wasteful number, since it uses less digits than its factorization.

53252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13317 (or 13315 counting only the distinct ones).

The product of its digits is 300, while the sum is 17.

The square root of 53252 is about 230.7639486575. The cubic root of 53252 is about 37.6222970211.

Subtracting from 53252 its sum of digits (17), we obtain a palindrome (53235).

Adding to 53252 its reverse (25235), we get a palindrome (78487).

The spelling of 53252 in words is "fifty-three thousand, two hundred fifty-two".