527265 has 12 divisors (see below), whose sum is σ = 914004. Its totient is φ = 281184.

The previous prime is 527251. The next prime is 527273. The reversal of 527265 is 562725.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 463761 = 252^2 + 681^2 .

It is not a de Polignac number, because 527265 - 2¹² = 523169 is a prime.

It is a d-powerful number, because it can be written as 5² + 2¹⁰ + 2¹⁹ + 7 + 6⁴ + 5⁴ .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5814 + ... + 5903.

It is an arithmetic number, because the mean of its divisors is an integer number (76167).

2⁵²⁷²⁶⁵ is an apocalyptic number.

It is an amenable number.

527265 is a deficient number, since it is larger than the sum of its proper divisors (386739).

527265 is a wasteful number, since it uses less digits than its factorization.

527265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11728 (or 11725 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 527265 is about 726.1301536226. The cubic root of 527265 is about 80.7872790646.

The spelling of 527265 in words is "five hundred twenty-seven thousand, two hundred sixty-five".