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58133041 is a prime number
BaseRepresentation
bin1101110111000…
…0101000110001
311001101110112121
43131300220301
5104340224131
65433554241
71304060041
oct335605061
9131343477
1058133041
112a8a623a
1217575981
13c075265
147a13721
155184911
hex3770a31

58133041 has 2 divisors, whose sum is σ = 58133042. Its totient is φ = 58133040.

The previous prime is 58133003. The next prime is 58133057. The reversal of 58133041 is 14033185.

58133041 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., 54538225 + 3594816 = 7385^2 + 1896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58133041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 58132997 and 58133015.

It is not a weakly prime, because it can be changed into another prime (58133071) 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, 29066520 + 29066521.

It is an arithmetic number, because the mean of its divisors is an integer number (29066521).

Almost surely, 258133041 is an apocalyptic number.

It is an amenable number.

58133041 is a deficient number, since it is larger than the sum of its proper divisors (1).

58133041 is an equidigital number, since it uses as much as digits as its factorization.

58133041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 58133041 is about 7624.5026723059. The cubic root of 58133041 is about 387.3834066149.

The spelling of 58133041 in words is "fifty-eight million, one hundred thirty-three thousand, forty-one".