532521504 has 72 divisors (see below), whose sum is σ = 1520168832. Its totient is φ = 176826240.

The previous prime is 532521497. The next prime is 532521523. The reversal of 532521504 is 405125235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74637 + ... + 81459.

It is an arithmetic number, because the mean of its divisors is an integer number (21113456).

Almost surely, 2^532521504 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 532521504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760084416).

532521504 is an abundant number, since it is smaller than the sum of its proper divisors (987647328).

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

532521504 is a wasteful number, since it uses less digits than its factorization.

532521504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7110 (or 7099 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 532521504 is about 23076.4274531393. The cubic root of 532521504 is about 810.5485812870.

Adding to 532521504 its reverse (405125235), we get a palindrome (937646739).

It can be divided in two parts, 53252 and 1504, that added together give a square (54756 = 234²).

The spelling of 532521504 in words is "five hundred thirty-two million, five hundred twenty-one thousand, five hundred four".