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58352713 is a prime number
BaseRepresentation
bin1101111010011…
…0010001001001
311001210121212121
43132212101021
5104414241323
65442411241
71305663346
oct336462111
9131717777
1058352713
112aa36291
1217660b21
13c121243
147a6d7cd
1551c9a5d
hex37a6449

58352713 has 2 divisors, whose sum is σ = 58352714. Its totient is φ = 58352712.

The previous prime is 58352689. The next prime is 58352773. The reversal of 58352713 is 31725385.

58352713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30769209 + 27583504 = 5547^2 + 5252^2 .

It is a cyclic number.

It is not a de Polignac number, because 58352713 - 29 = 58352201 is a prime.

It is a super-2 number, since 2×583527132 = 6810078228920738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (58352773) 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, 29176356 + 29176357.

It is an arithmetic number, because the mean of its divisors is an integer number (29176357).

Almost surely, 258352713 is an apocalyptic number.

It is an amenable number.

58352713 is a deficient number, since it is larger than the sum of its proper divisors (1).

58352713 is an equidigital number, since it uses as much as digits as its factorization.

58352713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25200, while the sum is 34.

The square root of 58352713 is about 7638.8947498967. The cubic root of 58352713 is about 387.8707389059.

The spelling of 58352713 in words is "fifty-eight million, three hundred fifty-two thousand, seven hundred thirteen".