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507805369 is a prime number
BaseRepresentation
bin11110010001000…
…111111010111001
31022101112012000021
4132101013322321
52014444232434
6122220010441
715404163061
oct3621077271
91271465007
10507805369
11240708765
12122090a21
1381288a66
144b6283a1
152e8aacb4
hex1e447eb9

507805369 has 2 divisors, whose sum is σ = 507805370. Its totient is φ = 507805368.

The previous prime is 507805367. The next prime is 507805373. The reversal of 507805369 is 963508705.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 478515625 + 29289744 = 21875^2 + 5412^2 .

It is a cyclic number.

It is not a de Polignac number, because 507805369 - 21 = 507805367 is a prime.

It is a super-2 number, since 2×5078053692 = 515732585570452322, which contains 22 as substring.

Together with 507805367, it forms a pair of twin primes.

It is equal to p26744785 and since 507805369 and 26744785 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (507805367) 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, 253902684 + 253902685.

It is an arithmetic number, because the mean of its divisors is an integer number (253902685).

Almost surely, 2507805369 is an apocalyptic number.

It is an amenable number.

507805369 is a deficient number, since it is larger than the sum of its proper divisors (1).

507805369 is an equidigital number, since it uses as much as digits as its factorization.

507805369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 507805369 is about 22534.5372484105. The cubic root of 507805369 is about 797.8093028876.

The spelling of 507805369 in words is "five hundred seven million, eight hundred five thousand, three hundred sixty-nine".