Search a number
-
+
255523909555217 is a prime number
BaseRepresentation
bin111010000110010111001011…
…110111000101010000010001
31020111201211212121011102011002
4322012113023313011100101
5231443000431321231332
62303242021415231345
7104551664453403512
oct7206271367052021
91214654777142132
10255523909555217
11744660994a4086
12247aa2b4378555
13ac76a55543994
1447155cd40ca09
151e81b6b12b562
hexe865cbdc5411

255523909555217 has 2 divisors, whose sum is σ = 255523909555218. Its totient is φ = 255523909555216.

The previous prime is 255523909555153. The next prime is 255523909555223. The reversal of 255523909555217 is 712555909325552.

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., 175954494566656 + 79569414988561 = 13264784^2 + 8920169^2 .

It is a cyclic number.

It is not a de Polignac number, because 255523909555217 - 26 = 255523909555153 is a prime.

It is not a weakly prime, because it can be changed into another prime (255523909755217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127761954777608 + 127761954777609.

It is an arithmetic number, because the mean of its divisors is an integer number (127761954777609).

Almost surely, 2255523909555217 is an apocalyptic number.

It is an amenable number.

255523909555217 is a deficient number, since it is larger than the sum of its proper divisors (1).

255523909555217 is an equidigital number, since it uses as much as digits as its factorization.

255523909555217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 212625000, while the sum is 65.

The spelling of 255523909555217 in words is "two hundred fifty-five trillion, five hundred twenty-three billion, nine hundred nine million, five hundred fifty-five thousand, two hundred seventeen".