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2006050521857 is a prime number
BaseRepresentation
bin11101001100010001111…
…011011100001100000001
321002202222002222012121012
4131030101323130030001
5230331342413144412
64133322240410305
7264634542043334
oct35142173341401
97082862865535
102006050521857
11703841249478
12284952316995
13117228c3bc15
146d14429061b
15372ae294c22
hex1d311edc301

2006050521857 has 2 divisors, whose sum is σ = 2006050521858. Its totient is φ = 2006050521856.

The previous prime is 2006050521817. The next prime is 2006050521889. The reversal of 2006050521857 is 7581250506002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1278891836161 + 727158685696 = 1130881^2 + 852736^2 .

It is a cyclic number.

It is not a de Polignac number, because 2006050521857 - 26 = 2006050521793 is a prime.

It is not a weakly prime, because it can be changed into another prime (2006050521817) 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, 1003025260928 + 1003025260929.

It is an arithmetic number, because the mean of its divisors is an integer number (1003025260929).

Almost surely, 22006050521857 is an apocalyptic number.

It is an amenable number.

2006050521857 is a deficient number, since it is larger than the sum of its proper divisors (1).

2006050521857 is an equidigital number, since it uses as much as digits as its factorization.

2006050521857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168000, while the sum is 41.

The spelling of 2006050521857 in words is "two trillion, six billion, fifty million, five hundred twenty-one thousand, eight hundred fifty-seven".