505759 has 2 divisors, whose sum is σ = 505760. Its totient is φ = 505758.

The previous prime is 505727. The next prime is 505763. The reversal of 505759 is 957505.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 505759 - 2⁵ = 505727 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505759.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252879 + 252880.

It is an arithmetic number, because the mean of its divisors is an integer number (252880).

2⁵⁰⁵⁷⁵⁹ is an apocalyptic number.

505759 is a deficient number, since it is larger than the sum of its proper divisors (1).

505759 is an equidigital number, since it uses as much as digits as its factorization.

505759 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7875, while the sum is 31.

The square root of 505759 is about 711.1673502067. The cubic root of 505759 is about 79.6736181637.

The spelling of 505759 in words is "five hundred five thousand, seven hundred fifty-nine".