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277113130527257 is a prime number
BaseRepresentation
bin111111000000100001101101…
…101101010010101000011001
31100100011202102112021001012022
4333000201231231102220121
5242310210142403333012
62421212003102224225
7112240522464002123
oct7700415555225031
91310152375231168
10277113130527257
118032a022949332
12270b646a885075
13bb8186b54409b
144c604c0568213
152208536105472
hexfc086db52a19

277113130527257 has 2 divisors, whose sum is σ = 277113130527258. Its totient is φ = 277113130527256.

The previous prime is 277113130527229. The next prime is 277113130527263. The reversal of 277113130527257 is 752725031311772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220647584432521 + 56465546094736 = 14854211^2 + 7514356^2 .

It is a cyclic number.

It is not a de Polignac number, because 277113130527257 - 222 = 277113126332953 is a prime.

It is a super-2 number, since 2×2771131305272572 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 277113130527199 and 277113130527208.

It is not a weakly prime, because it can be changed into another prime (277113130524257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 138556565263628 + 138556565263629.

It is an arithmetic number, because the mean of its divisors is an integer number (138556565263629).

Almost surely, 2277113130527257 is an apocalyptic number.

It is an amenable number.

277113130527257 is a deficient number, since it is larger than the sum of its proper divisors (1).

277113130527257 is an equidigital number, since it uses as much as digits as its factorization.

277113130527257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4321800, while the sum is 53.

The spelling of 277113130527257 in words is "two hundred seventy-seven trillion, one hundred thirteen billion, one hundred thirty million, five hundred twenty-seven thousand, two hundred fifty-seven".