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57057812017 is a prime number
BaseRepresentation
bin110101001000111010…
…010001111000110001
312110021110100011120221
4311020322101320301
51413323244441032
642113442533041
74056642254113
oct651072217061
9173243304527
1057057812017
112221a713748
12b084667181
1354c4037a5b
142a93c193b3
15173e2cd597
hexd48e91e31

57057812017 has 2 divisors, whose sum is σ = 57057812018. Its totient is φ = 57057812016.

The previous prime is 57057811963. The next prime is 57057812039. The reversal of 57057812017 is 71021875075.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38871671281 + 18186140736 = 197159^2 + 134856^2 .

It is a cyclic number.

It is not a de Polignac number, because 57057812017 - 211 = 57057809969 is a prime.

It is not a weakly prime, because it can be changed into another prime (57051812017) 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, 28528906008 + 28528906009.

It is an arithmetic number, because the mean of its divisors is an integer number (28528906009).

Almost surely, 257057812017 is an apocalyptic number.

It is an amenable number.

57057812017 is a deficient number, since it is larger than the sum of its proper divisors (1).

57057812017 is an equidigital number, since it uses as much as digits as its factorization.

57057812017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 137200, while the sum is 43.

The spelling of 57057812017 in words is "fifty-seven billion, fifty-seven million, eight hundred twelve thousand, seventeen".