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57666013 is a prime number
BaseRepresentation
bin1101101111111…
…0100111011101
311000111201220021
43123332213131
5104230303023
65415552141
71300103326
oct333764735
9130451807
1057666013
112a607369
121738b651
13bc40802
14793144d
1550e135d
hex36fe9dd

57666013 has 2 divisors, whose sum is σ = 57666014. Its totient is φ = 57666012.

The previous prime is 57665981. The next prime is 57666019. The reversal of 57666013 is 31066675.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55756089 + 1909924 = 7467^2 + 1382^2 .

It is a cyclic number.

It is not a de Polignac number, because 57666013 - 25 = 57665981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57666013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57666019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28833006 + 28833007.

It is an arithmetic number, because the mean of its divisors is an integer number (28833007).

Almost surely, 257666013 is an apocalyptic number.

It is an amenable number.

57666013 is a deficient number, since it is larger than the sum of its proper divisors (1).

57666013 is an equidigital number, since it uses as much as digits as its factorization.

57666013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 57666013 is about 7593.8141273012. The cubic root of 57666013 is about 386.3432318938.

The spelling of 57666013 in words is "fifty-seven million, six hundred sixty-six thousand, thirteen".