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53593 is a prime number
BaseRepresentation
bin1101000101011001
32201111221
431011121
53203333
61052041
7312151
oct150531
981457
1053593
11372a1
1227021
131b517
1415761
1510d2d
hexd159

53593 has 2 divisors, whose sum is σ = 53594. Its totient is φ = 53592.

The previous prime is 53591. The next prime is 53597. The reversal of 53593 is 39535.

53593 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., 44944 + 8649 = 212^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 53593 - 21 = 53591 is a prime.

Together with 53591, it forms a pair of twin primes.

It is the 232-nd Hogben number.

53593 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53591) by changing a digit.

It is a nontrivial repunit in base 231.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26796 + 26797.

It is an arithmetic number, because the mean of its divisors is an integer number (26797).

253593 is an apocalyptic number.

It is an amenable number.

53593 is a deficient number, since it is larger than the sum of its proper divisors (1).

53593 is an equidigital number, since it uses as much as digits as its factorization.

53593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2025, while the sum is 25.

The square root of 53593 is about 231.5016198647. The cubic root of 53593 is about 37.7024312025.

It can be divided in two parts, 53 and 593, that added together give a palindrome (646).

The spelling of 53593 in words is "fifty-three thousand, five hundred ninety-three".