527504 has 10 divisors (see below), whose sum is σ = 1022070. Its totient is φ = 263744.

The previous prime is 527489. The next prime is 527507. The reversal of 527504 is 405725.

It can be written as a sum of positive squares in only one way, i.e., 425104 + 102400 = 652^2 + 320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 527504.

It is not an unprimeable number, because it can be changed into a prime (527507) by changing a digit.

527504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16469 + ... + 16500.

It is an arithmetic number, because the mean of its divisors is an integer number (102207).

2⁵²⁷⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

527504 is a deficient number, since it is larger than the sum of its proper divisors (494566).

527504 is a wasteful number, since it uses less digits than its factorization.

527504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32977 (or 32971 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 527504 is about 726.2947060250. The cubic root of 527504 is about 80.7994837074.

The spelling of 527504 in words is "five hundred twenty-seven thousand, five hundred four".