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86253317364329 is a prime number
BaseRepresentation
bin10011100111001001101010…
…010101111001101001101001
3102022101201212222200222222222
4103213021222111321221221
542301133243221124304
6503240121005523425
724111411416524433
oct2347115225715151
9368351788628888
1086253317364329
112553491003a755
129810579573575
133918864632a6b
14174297b9b1653
159e89a7a6d4be
hex4e726a579a69

86253317364329 has 2 divisors, whose sum is σ = 86253317364330. Its totient is φ = 86253317364328.

The previous prime is 86253317364293. The next prime is 86253317364341. The reversal of 86253317364329 is 92346371335268.

Together with previous prime (86253317364293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73038987301225 + 13214330063104 = 8546285^2 + 3635152^2 .

It is a cyclic number.

It is not a de Polignac number, because 86253317364329 - 212 = 86253317360233 is a prime.

It is a super-3 number, since 3×862533173643293 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (86253317364829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43126658682164 + 43126658682165.

It is an arithmetic number, because the mean of its divisors is an integer number (43126658682165).

Almost surely, 286253317364329 is an apocalyptic number.

It is an amenable number.

86253317364329 is a deficient number, since it is larger than the sum of its proper divisors (1).

86253317364329 is an equidigital number, since it uses as much as digits as its factorization.

86253317364329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 117573120, while the sum is 62.

The spelling of 86253317364329 in words is "eighty-six trillion, two hundred fifty-three billion, three hundred seventeen million, three hundred sixty-four thousand, three hundred twenty-nine".