505521 has 15 divisors (see below), whose sum is σ = 764841. Its totient is φ = 332748.

The previous prime is 505513. The next prime is 505523. The reversal of 505521 is 125505.

The square root of 505521 is 711.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 505521 - 2^{3} = 505513 is a prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 505494 and 505503.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 505521.

It is not an unprimeable number, because it can be changed into a prime (505523) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6360 + ... + 6438.

2^{505521} is an apocalyptic number.

505521 is the 711-st square number.

505521 is the 356-th centered octagonal number.

It is an amenable number.

505521 is a deficient number, since it is larger than the sum of its proper divisors (259320).

505521 is an frugal number, since it uses more digits than its factorization.

505521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The cubic root of 505521 is about 79.6611186028.

The spelling of 505521 in words is "five hundred five thousand, five hundred twenty-one".

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