505557 has 24 divisors (see below), whose sum is σ = 819000. Its totient is φ = 298368.

The previous prime is 505537. The next prime is 505559. The reversal of 505557 is 755505.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 505521 = 6^2 + 711^2 .

It is not a de Polignac number, because 505557 - 2⁶ = 505493 is a prime.

505557 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 505557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505559) 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 in 23 ways as a sum of consecutive naturals, for example, 3319 + ... + 3467.

It is an arithmetic number, because the mean of its divisors is an integer number (34125).

2⁵⁰⁵⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

505557 is a deficient number, since it is larger than the sum of its proper divisors (313443).

505557 is a wasteful number, since it uses less digits than its factorization.

505557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 4375, while the sum is 27.

The square root of 505557 is about 711.0253160050. The cubic root of 505557 is about 79.6630095444.

The spelling of 505557 in words is "five hundred five thousand, five hundred fifty-seven".