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57538561 is a prime number
BaseRepresentation
bin1101101101111…
…1100000000001
311000021021001211
43123133200001
5104212213221
65413130121
71266032623
oct333374001
9130237054
1057538561
112a52a633
1217329941
13bbc77b2
1478dac13
1550b86e1
hex36df801

57538561 has 2 divisors, whose sum is σ = 57538562. Its totient is φ = 57538560.

The previous prime is 57538553. The next prime is 57538567. The reversal of 57538561 is 16583575.

57538561 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., 40564161 + 16974400 = 6369^2 + 4120^2 .

It is a cyclic number.

It is not a de Polignac number, because 57538561 - 23 = 57538553 is a prime.

It is not a weakly prime, because it can be changed into another prime (57538567) 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, 28769280 + 28769281.

It is an arithmetic number, because the mean of its divisors is an integer number (28769281).

Almost surely, 257538561 is an apocalyptic number.

It is an amenable number.

57538561 is a deficient number, since it is larger than the sum of its proper divisors (1).

57538561 is an equidigital number, since it uses as much as digits as its factorization.

57538561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126000, while the sum is 40.

The square root of 57538561 is about 7585.4176549482. The cubic root of 57538561 is about 386.0583931812.

The spelling of 57538561 in words is "fifty-seven million, five hundred thirty-eight thousand, five hundred sixty-one".