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505738369 is a prime number
BaseRepresentation
bin11110001001001…
…111010010000001
31022020122011121201
4132021033102001
52013432111434
6122103421201
715350463613
oct3611172201
91266564551
10505738369
1123a5267a4
12121454801
1380a13c96
144b24adb3
152e5ed614
hex1e24f481

505738369 has 2 divisors, whose sum is σ = 505738370. Its totient is φ = 505738368.

The previous prime is 505738367. The next prime is 505738381. The reversal of 505738369 is 963837505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 324432144 + 181306225 = 18012^2 + 13465^2 .

It is a cyclic number.

It is not a de Polignac number, because 505738369 - 21 = 505738367 is a prime.

It is a super-2 number, since 2×5057383692 = 511542595757560322, which contains 22 as substring.

Together with 505738367, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (505738361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252869184 + 252869185.

It is an arithmetic number, because the mean of its divisors is an integer number (252869185).

Almost surely, 2505738369 is an apocalyptic number.

It is an amenable number.

505738369 is a deficient number, since it is larger than the sum of its proper divisors (1).

505738369 is an equidigital number, since it uses as much as digits as its factorization.

505738369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 680400, while the sum is 46.

The square root of 505738369 is about 22488.6275481631. The cubic root of 505738369 is about 796.7253479609.

The spelling of 505738369 in words is "five hundred five million, seven hundred thirty-eight thousand, three hundred sixty-nine".