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56605206375121 is a prime number
BaseRepresentation
bin11001101111011011011010…
…01101111110101011010001
321102102101221011021010112111
430313231231031332223101
524404404430313000441
6320220023421225321
714631406532303455
oct1467555515765321
9242371834233474
1056605206375121
1117044151338798
126422575102241
132577b04248ac1
14dd99c6d00665
15682670a85081
hex337b6d37ead1

56605206375121 has 2 divisors, whose sum is σ = 56605206375122. Its totient is φ = 56605206375120.

The previous prime is 56605206375077. The next prime is 56605206375143. The reversal of 56605206375121 is 12157360250665.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29962059485121 + 26643146890000 = 5473761^2 + 5161700^2 .

It is a cyclic number.

It is not a de Polignac number, because 56605206375121 - 27 = 56605206374993 is a prime.

It is not a weakly prime, because it can be changed into another prime (56605206375821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28302603187560 + 28302603187561.

It is an arithmetic number, because the mean of its divisors is an integer number (28302603187561).

Almost surely, 256605206375121 is an apocalyptic number.

It is an amenable number.

56605206375121 is a deficient number, since it is larger than the sum of its proper divisors (1).

56605206375121 is an equidigital number, since it uses as much as digits as its factorization.

56605206375121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268000, while the sum is 49.

The spelling of 56605206375121 in words is "fifty-six trillion, six hundred five billion, two hundred six million, three hundred seventy-five thousand, one hundred twenty-one".