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52253 is a prime number
BaseRepresentation
bin1100110000011101
32122200022
430300131
53133003
61041525
7305225
oct146035
978608
1052253
1136293
12262a5
131aa26
1415085
1510738
hexcc1d

52253 has 2 divisors, whose sum is σ = 52254. Its totient is φ = 52252.

The previous prime is 52249. The next prime is 52259. The reversal of 52253 is 35225.

52253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40804 + 11449 = 202^2 + 107^2 .

It is a cyclic number.

It is not a de Polignac number, because 52253 - 22 = 52249 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52253.

It is not a weakly prime, because it can be changed into another prime (52259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26126 + 26127.

It is an arithmetic number, because the mean of its divisors is an integer number (26127).

252253 is an apocalyptic number.

It is an amenable number.

52253 is a deficient number, since it is larger than the sum of its proper divisors (1).

52253 is an equidigital number, since it uses as much as digits as its factorization.

52253 is an evil number, because the sum of its binary digits is even.

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

The square root of 52253 is about 228.5891510986. The cubic root of 52253 is about 37.3855473340.

Adding to 52253 its reverse (35225), we get a palindrome (87478).

It can be divided in two parts, 522 and 53, that added together give a palindrome (575).

The spelling of 52253 in words is "fifty-two thousand, two hundred fifty-three".