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58206517 is a prime number
BaseRepresentation
bin1101111000001…
…0100100110101
311001112012022221
43132002210311
5104400102032
65435322341
71304514205
oct336024465
9131465287
1058206517
112a946466
12175b03b1
13c09c835
147a32405
15519b597
hex3782935

58206517 has 2 divisors, whose sum is σ = 58206518. Its totient is φ = 58206516.

The previous prime is 58206503. The next prime is 58206529. The reversal of 58206517 is 71560285.

58206517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46977316 + 11229201 = 6854^2 + 3351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58206517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58206917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29103258 + 29103259.

It is an arithmetic number, because the mean of its divisors is an integer number (29103259).

Almost surely, 258206517 is an apocalyptic number.

It is an amenable number.

58206517 is a deficient number, since it is larger than the sum of its proper divisors (1).

58206517 is an equidigital number, since it uses as much as digits as its factorization.

58206517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 58206517 is about 7629.3195633687. The cubic root of 58206517 is about 387.5465461950.

The spelling of 58206517 in words is "fifty-eight million, two hundred six thousand, five hundred seventeen".