505625 has 10 divisors (see below), whose sum is σ = 632610. Its totient is φ = 404000.

The previous prime is 505619. The next prime is 505633. The reversal of 505625 is 526505.

It can be written as a sum of positive squares in 5 ways, for example, as 99856 + 405769 = 316^2 + 637^2 .

It is not a de Polignac number, because 505625 - 2⁸ = 505369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505625.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 221 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (63261).

2⁵⁰⁵⁶²⁵ is an apocalyptic number.

It is an amenable number.

505625 is a deficient number, since it is larger than the sum of its proper divisors (126985).

505625 is an frugal number, since it uses more digits than its factorization.

505625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 505625 is about 711.0731326664. The cubic root of 505625 is about 79.6665810783. Note that the first 3 decimals are identical.

The spelling of 505625 in words is "five hundred five thousand, six hundred twenty-five".