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57541681 is a prime number
BaseRepresentation
bin1101101110000…
…0010000110001
311000021102100101
43123200100301
5104212313211
65413152401
71266045001
oct333402061
9130242311
1057541681
112a531a0a
121732b701
13bbc9042
1478dc001
1550b95c1
hex36e0431

57541681 has 2 divisors, whose sum is σ = 57541682. Its totient is φ = 57541680.

The previous prime is 57541663. The next prime is 57541717. The reversal of 57541681 is 18614575.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56927025 + 614656 = 7545^2 + 784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57541681 is a prime.

It is a super-2 number, since 2×575416812 = 6622090104611522, which contains 22 as substring.

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 57541681.

It is not a weakly prime, because it can be changed into another prime (57541381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28770840 + 28770841.

It is an arithmetic number, because the mean of its divisors is an integer number (28770841).

Almost surely, 257541681 is an apocalyptic number.

It is an amenable number.

57541681 is a deficient number, since it is larger than the sum of its proper divisors (1).

57541681 is an equidigital number, since it uses as much as digits as its factorization.

57541681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 33600, while the sum is 37.

The square root of 57541681 is about 7585.6233099199. The cubic root of 57541681 is about 386.0653709969.

The spelling of 57541681 in words is "fifty-seven million, five hundred forty-one thousand, six hundred eighty-one".