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66075565524113 is a prime number
BaseRepresentation
bin11110000011000011010101…
…00111001000010010010001
322122221202120202210102112202
433001201222213020102101
532130040224233232423
6352310410140532545
716626542053003235
oct1701415247102221
9278852522712482
1066075565524113
111a065543174232
1274b1a79251155
132ab3b8c3cba62
1412461083705c5
15798b9ca60728
hex3c186a9c8491

66075565524113 has 2 divisors, whose sum is σ = 66075565524114. Its totient is φ = 66075565524112.

The previous prime is 66075565524109. The next prime is 66075565524121. The reversal of 66075565524113 is 31142556557066.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58958317978624 + 7117247545489 = 7678432^2 + 2667817^2 .

It is a cyclic number.

It is not a de Polignac number, because 66075565524113 - 22 = 66075565524109 is a prime.

It is not a weakly prime, because it can be changed into another prime (66075565524013) 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, 33037782762056 + 33037782762057.

It is an arithmetic number, because the mean of its divisors is an integer number (33037782762057).

Almost surely, 266075565524113 is an apocalyptic number.

It is an amenable number.

66075565524113 is a deficient number, since it is larger than the sum of its proper divisors (1).

66075565524113 is an equidigital number, since it uses as much as digits as its factorization.

66075565524113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680000, while the sum is 56.

The spelling of 66075565524113 in words is "sixty-six trillion, seventy-five billion, five hundred sixty-five million, five hundred twenty-four thousand, one hundred thirteen".