52352 has 16 divisors (see below), whose sum is σ = 104550. Its totient is φ = 26112.

The previous prime is 52321. The next prime is 52361. The reversal of 52352 is 25325.

52352 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 33856 + 18496 = 184^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 52352.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 77 + ... + 332.

2⁵²³⁵² is an apocalyptic number.

It is an amenable number.

52352 is a deficient number, since it is larger than the sum of its proper divisors (52198).

52352 is an equidigital number, since it uses as much as digits as its factorization.

52352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

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

The square root of 52352 is about 228.8055943372. The cubic root of 52352 is about 37.4091430076.

Adding to 52352 its reverse (25325), we get a palindrome (77677).

It can be divided in two parts, 523 and 52, that added together give a palindrome (575).

The spelling of 52352 in words is "fifty-two thousand, three hundred fifty-two".