526504032 has 144 divisors (see below), whose sum is σ = 1541816640. Its totient is φ = 170366976.

The previous prime is 526504021. The next prime is 526504037. The reversal of 526504032 is 230405625.

526504032 is a `hidden beast` number, since 5 + 2 + 650 + 4 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 526503987 and 526504005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526504037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1660738 + ... + 1661054.

It is an arithmetic number, because the mean of its divisors is an integer number (10707060).

Almost surely, 2^526504032 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 526504032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770908320).

526504032 is an abundant number, since it is smaller than the sum of its proper divisors (1015312608).

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

526504032 is a wasteful number, since it uses less digits than its factorization.

526504032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 526504032 is about 22945.6756710279. The cubic root of 526504032 is about 807.4839530721.

Adding to 526504032 its reverse (230405625), we get a palindrome (756909657).

The spelling of 526504032 in words is "five hundred twenty-six million, five hundred four thousand, thirty-two".