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85801436533 is a prime number
BaseRepresentation
bin100111111101000101…
…0100000010101110101
322012110122112120210201
41033322022200111311
52401210131432113
6103225554320501
76125145114511
oct1177212402565
9265418476721
1085801436533
113342a74622a
1214766889131
13812502a3b7
14421d45b141
152372982cdd
hex13fa2a0575

85801436533 has 2 divisors, whose sum is σ = 85801436534. Its totient is φ = 85801436532.

The previous prime is 85801436509. The next prime is 85801436549. The reversal of 85801436533 is 33563410858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67882133764 + 17919302769 = 260542^2 + 133863^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85801436533 is a prime.

It is a super-2 number, since 2×858014365332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85801436563) 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, 42900718266 + 42900718267.

It is an arithmetic number, because the mean of its divisors is an integer number (42900718267).

Almost surely, 285801436533 is an apocalyptic number.

It is an amenable number.

85801436533 is a deficient number, since it is larger than the sum of its proper divisors (1).

85801436533 is an equidigital number, since it uses as much as digits as its factorization.

85801436533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 85801436533 in words is "eighty-five billion, eight hundred one million, four hundred thirty-six thousand, five hundred thirty-three".