Search a number
-
+
827282827313 is a prime number
BaseRepresentation
bin11000000100111011110…
…01100010100000110001
32221002100202120222011022
430002131321202200301
5102023233400433223
61432014250025225
7113524561002425
oct14023571424061
92832322528138
10827282827313
11299937652768
121143bb418215
1360021424787
142c07d98ab85
15167bd5e2ac8
hexc09de62831

827282827313 has 2 divisors, whose sum is σ = 827282827314. Its totient is φ = 827282827312.

The previous prime is 827282827211. The next prime is 827282827337. The reversal of 827282827313 is 313728282728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 732706896289 + 94575931024 = 855983^2 + 307532^2 .

It is a cyclic number.

It is not a de Polignac number, because 827282827313 - 212 = 827282823217 is a prime.

It is not a weakly prime, because it can be changed into another prime (827282827373) 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, 413641413656 + 413641413657.

It is an arithmetic number, because the mean of its divisors is an integer number (413641413657).

Almost surely, 2827282827313 is an apocalyptic number.

It is an amenable number.

827282827313 is a deficient number, since it is larger than the sum of its proper divisors (1).

827282827313 is an equidigital number, since it uses as much as digits as its factorization.

827282827313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3612672, while the sum is 53.

The spelling of 827282827313 in words is "eight hundred twenty-seven billion, two hundred eighty-two million, eight hundred twenty-seven thousand, three hundred thirteen".