505757 has 4 divisors (see below), whose sum is σ = 578016. Its totient is φ = 433500.

The previous prime is 505727. The next prime is 505759. The reversal of 505757 is 757505.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 505757 - 2⁶ = 505693 is a prime.

It is a Duffinian number.

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 505757.

It is not an unprimeable number, because it can be changed into a prime (505759) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36119 + ... + 36132.

It is an arithmetic number, because the mean of its divisors is an integer number (144504).

2⁵⁰⁵⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

505757 is a deficient number, since it is larger than the sum of its proper divisors (72259).

505757 is an equidigital number, since it uses as much as digits as its factorization.

505757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72258.

The product of its (nonzero) digits is 6125, while the sum is 29.

The square root of 505757 is about 711.1659440665. The cubic root of 505757 is about 79.6735131417.

It can be divided in two parts, 50575 and 7, that multiplied together give a square (354025 = 595²).

The spelling of 505757 in words is "five hundred five thousand, seven hundred fifty-seven".