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58582109 is a prime number
BaseRepresentation
bin1101111101111…
…0010001011101
311002020021112202
43133132101131
5104444111414
65451341245
71310640215
oct337362135
9132207482
1058582109
1130082673
1217751825
13c1a1791
147acd245
1552229de
hex37de45d

58582109 has 2 divisors, whose sum is σ = 58582110. Its totient is φ = 58582108.

The previous prime is 58582091. The next prime is 58582123. The reversal of 58582109 is 90128585.

Together with previous prime (58582091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53728900 + 4853209 = 7330^2 + 2203^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58582109 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58582129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29291054 + 29291055.

It is an arithmetic number, because the mean of its divisors is an integer number (29291055).

Almost surely, 258582109 is an apocalyptic number.

It is an amenable number.

58582109 is a deficient number, since it is larger than the sum of its proper divisors (1).

58582109 is an equidigital number, since it uses as much as digits as its factorization.

58582109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 38.

The square root of 58582109 is about 7653.8950214907. The cubic root of 58582109 is about 388.3783397319.

The spelling of 58582109 in words is "fifty-eight million, five hundred eighty-two thousand, one hundred nine".