505711 has 2 divisors, whose sum is σ = 505712. Its totient is φ = 505710.

The previous prime is 505709. The next prime is 505727. The reversal of 505711 is 117505.

505711 is nontrivially palindromic in base 2.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 505711 - 2¹ = 505709 is a prime.

Together with 505709, it forms a pair of twin primes.

505711 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252855 + 252856.

It is an arithmetic number, because the mean of its divisors is an integer number (252856).

2⁵⁰⁵⁷¹¹ is an apocalyptic number.

505711 is a deficient number, since it is larger than the sum of its proper divisors (1).

505711 is an equidigital number, since it uses as much as digits as its factorization.

505711 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 175, while the sum is 19.

The square root of 505711 is about 711.1336020749. The cubic root of 505711 is about 79.6710975596.

The spelling of 505711 in words is "five hundred five thousand, seven hundred eleven".