Search a number
-
+
505365666109 is a prime number
BaseRepresentation
bin1110101101010100010…
…01000001100100111101
31210022102210122210101221
413112222021001210331
531234442102303414
61024054540033341
751340301166643
oct7265211014475
91708383583357
10505365666109
1118536281a8a7
1281b39b32851
133886a989435
141a661aad193
15d22bc1a224
hex75aa24193d

505365666109 has 2 divisors, whose sum is σ = 505365666110. Its totient is φ = 505365666108.

The previous prime is 505365666073. The next prime is 505365666131. The reversal of 505365666109 is 901666563505.

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., 311276958084 + 194088708025 = 557922^2 + 440555^2 .

It is a cyclic number.

It is not a de Polignac number, because 505365666109 - 215 = 505365633341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505365666709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252682833054 + 252682833055.

It is an arithmetic number, because the mean of its divisors is an integer number (252682833055).

Almost surely, 2505365666109 is an apocalyptic number.

It is an amenable number.

505365666109 is a deficient number, since it is larger than the sum of its proper divisors (1).

505365666109 is an equidigital number, since it uses as much as digits as its factorization.

505365666109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374000, while the sum is 52.

The spelling of 505365666109 in words is "five hundred five billion, three hundred sixty-five million, six hundred sixty-six thousand, one hundred nine".