527049 has 12 divisors (see below), whose sum is σ = 768196. Its totient is φ = 348192.

The previous prime is 526997. The next prime is 527053. The reversal of 527049 is 940725.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 308025 = 468^2 + 555^2 .

It is not a de Polignac number, because 527049 - 2¹¹ = 525001 is a prime.

It is a Duffinian number.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 527049.

It is not an unprimeable number, because it can be changed into a prime (527069) by changing a digit.

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, 1227 + ... + 1599.

2⁵²⁷⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

527049 is a deficient number, since it is larger than the sum of its proper divisors (241147).

527049 is a wasteful number, since it uses less digits than its factorization.

527049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 527049 is about 725.9814047205. The cubic root of 527049 is about 80.7762457539.

Adding to 527049 its sum of digits (27), we get a square (527076 = 726²).

The spelling of 527049 in words is "five hundred twenty-seven thousand, forty-nine".