505575 has 48 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 228960.

The previous prime is 505573. The next prime is 505601. The reversal of 505575 is 575505.

It is not a de Polignac number, because 505575 - 2¹ = 505573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505573) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4672 + ... + 4778.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2⁵⁰⁵⁵⁷⁵ is an apocalyptic number.

505575 is the 450-th heptagonal number.

505575 is an abundant number, since it is smaller than the sum of its proper divisors (565785).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505575 is a wasteful number, since it uses less digits than its factorization.

505575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

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

The square root of 505575 is about 711.0379736695. The cubic root of 505575 is about 79.6639549816.

It can be divided in two parts, 50 and 5575, that added together give a square (5625 = 75²).

The spelling of 505575 in words is "five hundred five thousand, five hundred seventy-five".