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58125937 is a prime number
BaseRepresentation
bin1101110110111…
…0111001110001
311001101002210111
43131232321301
5104340012222
65433501321
71304030242
oct335567161
9131332714
1058125937
112a8a0971
1217571841
13c071c5c
147a10cc9
155182777
hex376ee71

58125937 has 2 divisors, whose sum is σ = 58125938. Its totient is φ = 58125936.

The previous prime is 58125929. The next prime is 58125967. The reversal of 58125937 is 73952185.

It is the 3113-rd star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56610576 + 1515361 = 7524^2 + 1231^2 .

It is a cyclic number.

It is not a de Polignac number, because 58125937 - 23 = 58125929 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 58125937.

It is not a weakly prime, because it can be changed into another prime (58125967) 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, 29062968 + 29062969.

It is an arithmetic number, because the mean of its divisors is an integer number (29062969).

Almost surely, 258125937 is an apocalyptic number.

It is an amenable number.

58125937 is a deficient number, since it is larger than the sum of its proper divisors (1).

58125937 is an equidigital number, since it uses as much as digits as its factorization.

58125937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75600, while the sum is 40.

The square root of 58125937 is about 7624.0367916216. The cubic root of 58125937 is about 387.3676262383.

The spelling of 58125937 in words is "fifty-eight million, one hundred twenty-five thousand, nine hundred thirty-seven".