526504 has 32 divisors (see below), whose sum is σ = 1117440. Its totient is φ = 230400.

The previous prime is 526501. The next prime is 526511. The reversal of 526504 is 405625.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (526501) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 2632 + ... + 2824.

It is an arithmetic number, because the mean of its divisors is an integer number (34920).

2⁵²⁶⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558720).

526504 is an abundant number, since it is smaller than the sum of its proper divisors (590936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

526504 is a wasteful number, since it uses less digits than its factorization.

526504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 526504 is about 725.6059536691. The cubic root of 526504 is about 80.7483936713.

526504 divided by its sum of digits (22) gives a palindrome (23932).

It can be divided in two parts, 52 and 6504, that added together give a palindrome (6556).

The spelling of 526504 in words is "five hundred twenty-six thousand, five hundred four".