526561280 has 104 divisors (see below), whose sum is σ = 1444499232. Its totient is φ = 180486144.

The previous prime is 526561229. The next prime is 526561283. The reversal of 526561280 is 82165625.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 526561280.

It is not an unprimeable number, because it can be changed into a prime (526561283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141524 + ... + 145196.

Almost surely, 2^526561280 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 526561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722249616).

526561280 is an abundant number, since it is smaller than the sum of its proper divisors (917937952).

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

526561280 is an equidigital number, since it uses as much as digits as its factorization.

526561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 526561280 is about 22946.9231052880. The cubic root of 526561280 is about 807.5132185435.

The spelling of 526561280 in words is "five hundred twenty-six million, five hundred sixty-one thousand, two hundred eighty".