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85481267309 is a prime number
BaseRepresentation
bin100111110011100010…
…1001010000001101101
322011122100002022012022
41033213011022001231
52400031201023214
6103134120115525
76114206532524
oct1174705120155
9264570068168
1085481267309
1133285a46369
1214697605ba5
1380a38ba159
1441ccb174bb
1523547dcd8e
hex13e714a06d

85481267309 has 2 divisors, whose sum is σ = 85481267310. Its totient is φ = 85481267308.

The previous prime is 85481267279. The next prime is 85481267317. The reversal of 85481267309 is 90376218458.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79974143209 + 5507124100 = 282797^2 + 74210^2 .

It is a cyclic number.

It is not a de Polignac number, because 85481267309 - 212 = 85481263213 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is a weakly prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42740633654 + 42740633655.

It is an arithmetic number, because the mean of its divisors is an integer number (42740633655).

It is a 3-persistent number, because k⋅85481267309 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 285481267309 is an apocalyptic number.

It is an amenable number.

85481267309 is a deficient number, since it is larger than the sum of its proper divisors (1).

85481267309 is an equidigital number, since it uses as much as digits as its factorization.

85481267309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 85481267309 in words is "eighty-five billion, four hundred eighty-one million, two hundred sixty-seven thousand, three hundred nine".