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52583 is a prime number
BaseRepresentation
bin1100110101100111
32200010112
430311213
53140313
61043235
7306206
oct146547
980115
1052583
1136563
122651b
131ac1b
141523d
15108a8
hexcd67

52583 has 2 divisors, whose sum is σ = 52584. Its totient is φ = 52582.

The previous prime is 52579. The next prime is 52609. The reversal of 52583 is 38525.

52583 is nontrivially palindromic in base 11.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 52583 - 22 = 52579 is a prime.

It is a Sophie Germain prime.

It is a d-powerful number, because it can be written as 5 + 2 + 53 + 85 + 39 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26291 + 26292.

It is an arithmetic number, because the mean of its divisors is an integer number (26292).

252583 is an apocalyptic number.

52583 is a deficient number, since it is larger than the sum of its proper divisors (1).

52583 is an equidigital number, since it uses as much as digits as its factorization.

52583 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1200, while the sum is 23.

The square root of 52583 is about 229.3098340674. The cubic root of 52583 is about 37.4640841308.

The spelling of 52583 in words is "fifty-two thousand, five hundred eighty-three".