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58913201 is a prime number
BaseRepresentation
bin1110000010111…
…1000110110001
311002212002201102
43200233012301
5110040210301
65502414145
71313516414
oct340570661
9132762642
1058913201
11302893a6
1217891355
13c2893a9
147b77b7b
15528ab6b
hex382f1b1

58913201 has 2 divisors, whose sum is σ = 58913202. Its totient is φ = 58913200.

The previous prime is 58913171. The next prime is 58913209. The reversal of 58913201 is 10231985.

58913201 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., 43546801 + 15366400 = 6599^2 + 3920^2 .

It is a cyclic number.

It is not a de Polignac number, because 58913201 - 218 = 58651057 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (58913209) 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, 29456600 + 29456601.

It is an arithmetic number, because the mean of its divisors is an integer number (29456601).

Almost surely, 258913201 is an apocalyptic number.

It is an amenable number.

58913201 is a deficient number, since it is larger than the sum of its proper divisors (1).

58913201 is an equidigital number, since it uses as much as digits as its factorization.

58913201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 58913201 is about 7675.4935346204. The cubic root of 58913201 is about 389.1086393059.

The spelling of 58913201 in words is "fifty-eight million, nine hundred thirteen thousand, two hundred one".