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8085540413 is a prime number
BaseRepresentation
bin1111000011110111…
…11000111000111101
3202212111101000021202
413201323320320331
5113024344243123
63414153105245
7404236650056
oct74173707075
922774330252
108085540413
11347a093205
1216979b8225
139bb193252
14569bb372d
15324c95a28
hex1e1ef8e3d

8085540413 has 2 divisors, whose sum is σ = 8085540414. Its totient is φ = 8085540412.

The previous prime is 8085540361. The next prime is 8085540461. The reversal of 8085540413 is 3140455808.

8085540413 is digitally balanced in base 3, 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., 7793711524 + 291828889 = 88282^2 + 17083^2 .

It is a cyclic number.

It is not a de Polignac number, because 8085540413 - 28 = 8085540157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8085540713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4042770206 + 4042770207.

It is an arithmetic number, because the mean of its divisors is an integer number (4042770207).

Almost surely, 28085540413 is an apocalyptic number.

It is an amenable number.

8085540413 is a deficient number, since it is larger than the sum of its proper divisors (1).

8085540413 is an equidigital number, since it uses as much as digits as its factorization.

8085540413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 8085540413 is about 89919.6330786553. The cubic root of 8085540413 is about 2007.1031107934.

The spelling of 8085540413 in words is "eight billion, eighty-five million, five hundred forty thousand, four hundred thirteen".