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2827082681 is a prime number
BaseRepresentation
bin1010100010000001…
…1101101110111001
321022000122200100222
42220200131232321
521242213121211
61144310105425
7130025543363
oct25040355671
97260580328
102827082681
1112208a6075
1266a94b275
133609203b7
141cb673d33
151182d91db
hexa881dbb9

2827082681 has 2 divisors, whose sum is σ = 2827082682. Its totient is φ = 2827082680.

The previous prime is 2827082663. The next prime is 2827082689. The reversal of 2827082681 is 1862807282.

2827082681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2389645456 + 437437225 = 48884^2 + 20915^2 .

It is a cyclic number.

It is not a de Polignac number, because 2827082681 - 222 = 2822888377 is a prime.

It is a super-2 number, since 2×28270826812 = 15984792970420295522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2827082689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1413541340 + 1413541341.

It is an arithmetic number, because the mean of its divisors is an integer number (1413541341).

Almost surely, 22827082681 is an apocalyptic number.

It is an amenable number.

2827082681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2827082681 is an equidigital number, since it uses as much as digits as its factorization.

2827082681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 2827082681 is about 53170.3176687896. The cubic root of 2827082681 is about 1413.9894529028.

The spelling of 2827082681 in words is "two billion, eight hundred twenty-seven million, eighty-two thousand, six hundred eighty-one".