523265 has 8 divisors (see below), whose sum is σ = 632040. Its totient is φ = 415872.

The previous prime is 523261. The next prime is 523297. The reversal of 523265 is 562325.

523265 = 511² + 512².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 261121 = 512^2 + 511^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 523265 - 2² = 523261 is a prime.

It is a d-powerful number, because it can be written as 5² + 2² + 2¹⁷ + 3⁵ + 6⁴ + 5⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 523265.

It is not an unprimeable number, because it can be changed into a prime (523261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 917 + ... + 1373.

It is an arithmetic number, because the mean of its divisors is an integer number (79005).

It is a Proth number, since it is equal to 511 ⋅ 2¹⁰ + 1 and 511 < 2¹⁰.

2⁵²³²⁶⁵ is an apocalyptic number.

523265 is the 512-nd centered square number.

It is an amenable number.

523265 is a deficient number, since it is larger than the sum of its proper divisors (108775).

523265 is a wasteful number, since it uses less digits than its factorization.

523265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691.

The product of its digits is 1800, while the sum is 23.

The square root of 523265 is about 723.3705827582. The cubic root of 523265 is about 80.5824676013.

Subtracting 523265 from its reverse (562325), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 523265 in words is "five hundred twenty-three thousand, two hundred sixty-five".