Search a number
-
+
565813268873081 is a prime number
BaseRepresentation
bin1000000010100110101010101…
…0111001100111111101111001
32202012101012221112221121210022
42000221222222321213331321
51043130241033312414311
65323215005523100225
7230115442160263625
oct20051525271477571
92665335845847708
10565813268873081
11154316072614939
125356249ab11675
131b393c68274698
149da1718c1a185
15456317cd275db
hex2029aaae67f79

565813268873081 has 2 divisors, whose sum is σ = 565813268873082. Its totient is φ = 565813268873080.

The previous prime is 565813268873033. The next prime is 565813268873129. The reversal of 565813268873081 is 180378862318565.

It is a balanced prime because it is at equal distance from previous prime (565813268873033) and next prime (565813268873129).

It can be written as a sum of positive squares in only one way, i.e., 492486861282025 + 73326407591056 = 22192045^2 + 8563084^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-565813268873081 is a prime.

It is a super-2 number, since 2×5658132688730812 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 565813268872996 and 565813268873014.

It is not a weakly prime, because it can be changed into another prime (565813268873681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282906634436540 + 282906634436541.

It is an arithmetic number, because the mean of its divisors is an integer number (282906634436541).

Almost surely, 2565813268873081 is an apocalyptic number.

It is an amenable number.

565813268873081 is a deficient number, since it is larger than the sum of its proper divisors (1).

565813268873081 is an equidigital number, since it uses as much as digits as its factorization.

565813268873081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 464486400, while the sum is 71.

The spelling of 565813268873081 in words is "five hundred sixty-five trillion, eight hundred thirteen billion, two hundred sixty-eight million, eight hundred seventy-three thousand, eighty-one".