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57318209864801 is a prime number
BaseRepresentation
bin11010000100001011011111…
…00010011100010001100001
321111221120022121010020200022
431002011233202130101201
530003100143211133201
6321523342212403225
715034050450050564
oct1502055742342141
9244846277106608
1057318209864801
1117299575205676
1265187a0616515
1325ca112709c22
1410223051dc4db
15695ea152d41b
hex34216f89c461

57318209864801 has 2 divisors, whose sum is σ = 57318209864802. Its totient is φ = 57318209864800.

The previous prime is 57318209864779. The next prime is 57318209864819. The reversal of 57318209864801 is 10846890281375.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31708780413025 + 25609429451776 = 5631055^2 + 5060576^2 .

It is a cyclic number.

It is not a de Polignac number, because 57318209864801 - 222 = 57318205670497 is a prime.

It is not a weakly prime, because it can be changed into another prime (57318209864101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28659104932400 + 28659104932401.

It is an arithmetic number, because the mean of its divisors is an integer number (28659104932401).

It is a 1-persistent number, because it is pandigital, but 2⋅57318209864801 = 114636419729602 is not.

Almost surely, 257318209864801 is an apocalyptic number.

It is an amenable number.

57318209864801 is a deficient number, since it is larger than the sum of its proper divisors (1).

57318209864801 is an equidigital number, since it uses as much as digits as its factorization.

57318209864801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23224320, while the sum is 62.

The spelling of 57318209864801 in words is "fifty-seven trillion, three hundred eighteen billion, two hundred nine million, eight hundred sixty-four thousand, eight hundred one".