526803264 has 140 divisors (see below), whose sum is σ = 1681948884. Its totient is φ = 162072576.

The previous prime is 526803257. The next prime is 526803281. The reversal of 526803264 is 462308625.

It can be written as a sum of positive squares in 2 ways, for example, as 25401600 + 501401664 = 5040^2 + 22392^2 .

It is a super-2 number, since 2×526803264² = 555043357922107392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 63484 + ... + 71300.

Almost surely, 2^526803264 is an apocalyptic number.

526803264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840974442).

526803264 is an abundant number, since it is smaller than the sum of its proper divisors (1155145620).

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

526803264 is a wasteful number, since it uses less digits than its factorization.

526803264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 526803264 is about 22952.1951891317. The cubic root of 526803264 is about 807.6368985788.

The spelling of 526803264 in words is "five hundred twenty-six million, eight hundred three thousand, two hundred sixty-four".