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59054144161 is a prime number
BaseRepresentation
bin110110111111111001…
…101011101010100001
312122102120210100110111
4312333321223222201
51431420330103121
643043515131321
74160262641335
oct667771535241
9178376710414
1059054144161
1123054585621
12b541143b41
1357517c978c
142c02ddb7c5
1518096b92e1
hexdbfe6baa1

59054144161 has 2 divisors, whose sum is σ = 59054144162. Its totient is φ = 59054144160.

The previous prime is 59054144159. The next prime is 59054144231. The reversal of 59054144161 is 16144145095.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58542705936 + 511438225 = 241956^2 + 22615^2 .

It is a cyclic number.

It is not a de Polignac number, because 59054144161 - 21 = 59054144159 is a prime.

Together with 59054144159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (59054144761) 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, 29527072080 + 29527072081.

It is an arithmetic number, because the mean of its divisors is an integer number (29527072081).

Almost surely, 259054144161 is an apocalyptic number.

It is an amenable number.

59054144161 is a deficient number, since it is larger than the sum of its proper divisors (1).

59054144161 is an equidigital number, since it uses as much as digits as its factorization.

59054144161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 59054144161 in words is "fifty-nine billion, fifty-four million, one hundred forty-four thousand, one hundred sixty-one".