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52529 is a prime number
BaseRepresentation
bin1100110100110001
32200001112
430310301
53140104
61043105
7306101
oct146461
980045
1052529
1136514
1226495
131aba9
1415201
151086e
hexcd31

52529 has 2 divisors, whose sum is σ = 52530. Its totient is φ = 52528.

The previous prime is 52517. The next prime is 52541. The reversal of 52529 is 92525.

It is a happy number.

52529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (52517) and next prime (52541).

It can be written as a sum of positive squares in only one way, i.e., 30625 + 21904 = 175^2 + 148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-52529 is a prime.

It is a Chen prime.

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

It is not a weakly prime, because it can be changed into another prime (52579) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26264 + 26265.

It is an arithmetic number, because the mean of its divisors is an integer number (26265).

252529 is an apocalyptic number.

It is an amenable number.

52529 is a deficient number, since it is larger than the sum of its proper divisors (1).

52529 is an equidigital number, since it uses as much as digits as its factorization.

52529 is an evil number, because the sum of its binary digits is even.

The product of its digits is 900, while the sum is 23.

The square root of 52529 is about 229.1920591993. The cubic root of 52529 is about 37.4512551845.

It can be divided in two parts, 525 and 29, that multiplied together give a triangular number (15225 = T174).

The spelling of 52529 in words is "fifty-two thousand, five hundred twenty-nine".