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505919 is a prime number
BaseRepresentation
bin1111011100000111111
3221200222202
41323200333
5112142134
614502115
74204661
oct1734077
9850882
10505919
11316117
1220493b
1314937b
14d2531
159ed7e
hex7b83f

505919 has 2 divisors, whose sum is σ = 505920. Its totient is φ = 505918.

The previous prime is 505907. The next prime is 505927. The reversal of 505919 is 919505.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 505919 - 28 = 505663 is a prime.

It is a super-2 number, since 2×5059192 = 511908069122, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 505891 and 505900.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505919.

It is not a weakly prime, because it can be changed into another prime (505949) 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, 252959 + 252960.

It is an arithmetic number, because the mean of its divisors is an integer number (252960).

2505919 is an apocalyptic number.

505919 is a deficient number, since it is larger than the sum of its proper divisors (1).

505919 is an equidigital number, since it uses as much as digits as its factorization.

505919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2025, while the sum is 29.

The square root of 505919 is about 711.2798324148. The cubic root of 505919 is about 79.6820190258.

The spelling of 505919 in words is "five hundred five thousand, nine hundred nineteen".