Search a number
-
+
505405911319 is a prime number
BaseRepresentation
bin1110101101011001000…
…10100011000100010111
31210022112121101110110021
413112230202203010113
531240032403130234
61024102534410011
751341300235631
oct7265442430427
91708477343407
10505405911319
11185383508701
1281b4b500907
133887610a77a
141a667187a51
15d2305199b4
hex75ac8a3117

505405911319 has 2 divisors, whose sum is σ = 505405911320. Its totient is φ = 505405911318.

The previous prime is 505405911289. The next prime is 505405911371. The reversal of 505405911319 is 913119504505.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 505405911319 - 217 = 505405780247 is a prime.

It is a super-2 number, since 2×5054059113192 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505405911379) 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, 252702955659 + 252702955660.

It is an arithmetic number, because the mean of its divisors is an integer number (252702955660).

Almost surely, 2505405911319 is an apocalyptic number.

505405911319 is a deficient number, since it is larger than the sum of its proper divisors (1).

505405911319 is an equidigital number, since it uses as much as digits as its factorization.

505405911319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 121500, while the sum is 43.

The spelling of 505405911319 in words is "five hundred five billion, four hundred five million, nine hundred eleven thousand, three hundred nineteen".