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57597120041 is a prime number
BaseRepresentation
bin110101101001000011…
…100100111000101001
312111200001010212010012
4311221003210320221
51420424330320131
642243150101305
74106211304526
oct655103447051
9174601125105
1057597120041
112247708885a
12b1b51aa835
13557b9a3726
142b056c414d
15177180d52b
hexd690e4e29

57597120041 has 2 divisors, whose sum is σ = 57597120042. Its totient is φ = 57597120040.

The previous prime is 57597120017. The next prime is 57597120043. The reversal of 57597120041 is 14002179575.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54291330025 + 3305790016 = 233005^2 + 57496^2 .

It is a cyclic number.

It is not a de Polignac number, because 57597120041 - 218 = 57596857897 is a prime.

Together with 57597120043, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57597120043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28798560020 + 28798560021.

It is an arithmetic number, because the mean of its divisors is an integer number (28798560021).

Almost surely, 257597120041 is an apocalyptic number.

It is an amenable number.

57597120041 is a deficient number, since it is larger than the sum of its proper divisors (1).

57597120041 is an equidigital number, since it uses as much as digits as its factorization.

57597120041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200, while the sum is 41.

The spelling of 57597120041 in words is "fifty-seven billion, five hundred ninety-seven million, one hundred twenty thousand, forty-one".