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57327137040577 is a prime number
BaseRepresentation
bin11010000100011100000111…
…01000111010100011000001
321111222102100202011202122011
431002032003220322203001
530003221434040244302
6321531420113012521
715034514616563245
oct1502160350724301
9244872322152564
1057327137040577
11172a2336386998
12651a472254141
1325cac06070061
141022910a98425
156963251225d7
hex342383a3a8c1

57327137040577 has 2 divisors, whose sum is σ = 57327137040578. Its totient is φ = 57327137040576.

The previous prime is 57327137040571. The next prime is 57327137040683. The reversal of 57327137040577 is 77504073172375.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41060362202896 + 16266774837681 = 6407836^2 + 4033209^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57327137040577 is a prime.

It is not a weakly prime, because it can be changed into another prime (57327137040571) 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, 28663568520288 + 28663568520289.

It is an arithmetic number, because the mean of its divisors is an integer number (28663568520289).

Almost surely, 257327137040577 is an apocalyptic number.

It is an amenable number.

57327137040577 is a deficient number, since it is larger than the sum of its proper divisors (1).

57327137040577 is an equidigital number, since it uses as much as digits as its factorization.

57327137040577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30252600, while the sum is 58.

The spelling of 57327137040577 in words is "fifty-seven trillion, three hundred twenty-seven billion, one hundred thirty-seven million, forty thousand, five hundred seventy-seven".