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82578643261 is a prime number
BaseRepresentation
bin100110011101000010…
…0100001100100111101
321220011001021201112221
41030322010201210331
52323110113041021
6101534110525341
75652242612662
oct1147204414475
9256131251487
1082578643261
1132026544a14
1214007506851
137a3043ac2a
143dd541ba69
152234a81241
hex133a12193d

82578643261 has 2 divisors, whose sum is σ = 82578643262. Its totient is φ = 82578643260.

The previous prime is 82578643219. The next prime is 82578643307. The reversal of 82578643261 is 16234687528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82578643225 + 36 = 287365^2 + 6^2 .

It is a cyclic number.

It is not a de Polignac number, because 82578643261 - 217 = 82578512189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82578643199 and 82578643208.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82578643061) 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, 41289321630 + 41289321631.

It is an arithmetic number, because the mean of its divisors is an integer number (41289321631).

Almost surely, 282578643261 is an apocalyptic number.

It is an amenable number.

82578643261 is a deficient number, since it is larger than the sum of its proper divisors (1).

82578643261 is an equidigital number, since it uses as much as digits as its factorization.

82578643261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3870720, while the sum is 52.

The spelling of 82578643261 in words is "eighty-two billion, five hundred seventy-eight million, six hundred forty-three thousand, two hundred sixty-one".