Search a number
-
+
8082582780253 is a prime number
BaseRepresentation
bin111010110011101111101…
…1110011011100101011101
31001121200120002110022022011
41311213133132123211131
52024411112142432003
625105030503351221
71462642636032352
oct165473736334535
931550502408264
108082582780253
1126368932a3353
12aa6560752511
13468251b500c7
141dd2b0456629
15e03a706246d
hex759df79b95d

8082582780253 has 2 divisors, whose sum is σ = 8082582780254. Its totient is φ = 8082582780252.

The previous prime is 8082582780229. The next prime is 8082582780269. The reversal of 8082582780253 is 3520872852808.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5227016795289 + 2855565984964 = 2286267^2 + 1689842^2 .

It is a cyclic number.

It is not a de Polignac number, because 8082582780253 - 29 = 8082582779741 is a prime.

It is a super-3 number, since 3×80825827802533 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8082582780553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4041291390126 + 4041291390127.

It is an arithmetic number, because the mean of its divisors is an integer number (4041291390127).

Almost surely, 28082582780253 is an apocalyptic number.

It is an amenable number.

8082582780253 is a deficient number, since it is larger than the sum of its proper divisors (1).

8082582780253 is an equidigital number, since it uses as much as digits as its factorization.

8082582780253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17203200, while the sum is 58.

The spelling of 8082582780253 in words is "eight trillion, eighty-two billion, five hundred eighty-two million, seven hundred eighty thousand, two hundred fifty-three".