526560512 has 54 divisors (see below), whose sum is σ = 1076359158. Its totient is φ = 257001472.

The previous prime is 526560493. The next prime is 526560521. The reversal of 526560512 is 215065625.

It can be written as a sum of positive squares in 3 ways, for example, as 438651136 + 87909376 = 20944^2 + 9376^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2672798 + ... + 2672994.

It is an arithmetic number, because the mean of its divisors is an integer number (19932577).

Almost surely, 2^526560512 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 526560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538179579).

526560512 is an abundant number, since it is smaller than the sum of its proper divisors (549798646).

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

526560512 is an frugal number, since it uses more digits than its factorization.

526560512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 526560512 is about 22946.9063710122. The cubic root of 526560512 is about 807.5128259520.

The spelling of 526560512 in words is "five hundred twenty-six million, five hundred sixty thousand, five hundred twelve".