505709 has 2 divisors, whose sum is σ = 505710. Its totient is φ = 505708.

The previous prime is 505693. The next prime is 505711. The reversal of 505709 is 907505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 348100 + 157609 = 590^2 + 397^2 .

It is a cyclic number.

It is not a de Polignac number, because 505709 - 2⁴ = 505693 is a prime.

Together with 505711, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252854 + 252855.

It is an arithmetic number, because the mean of its divisors is an integer number (252855).

2⁵⁰⁵⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

505709 is a deficient number, since it is larger than the sum of its proper divisors (1).

505709 is an equidigital number, since it uses as much as digits as its factorization.

505709 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 505709 is about 711.1321958680. The cubic root of 505709 is about 79.6709925309.

The spelling of 505709 in words is "five hundred five thousand, seven hundred nine".