Search a number
-
+
505655141 is a prime number
BaseRepresentation
bin11110001000111…
…010111101100101
31022020110221110012
4132020322331211
52013421431031
6122101540005
715346666145
oct3610727545
91266427405
10505655141
1123a47a212
12121414605
13809b5134
144b228925
152e5d3b2b
hex1e23af65

505655141 has 2 divisors, whose sum is σ = 505655142. Its totient is φ = 505655140.

The previous prime is 505655077. The next prime is 505655179. The reversal of 505655141 is 141556505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 435932641 + 69722500 = 20879^2 + 8350^2 .

It is a cyclic number.

It is not a de Polignac number, because 505655141 - 26 = 505655077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505655098 and 505655107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505655041) 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, 252827570 + 252827571.

It is an arithmetic number, because the mean of its divisors is an integer number (252827571).

Almost surely, 2505655141 is an apocalyptic number.

It is an amenable number.

505655141 is a deficient number, since it is larger than the sum of its proper divisors (1).

505655141 is an equidigital number, since it uses as much as digits as its factorization.

505655141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15000, while the sum is 32.

The square root of 505655141 is about 22486.7770256211. Note that the first 3 decimals coincide. The cubic root of 505655141 is about 796.6816405823.

The spelling of 505655141 in words is "five hundred five million, six hundred fifty-five thousand, one hundred forty-one".