521883264 has 128 divisors (see below), whose sum is σ = 1635655680. Its totient is φ = 144276480.

The previous prime is 521883251. The next prime is 521883281. The reversal of 521883264 is 462388125.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80197 + ... + 86459.

It is an arithmetic number, because the mean of its divisors is an integer number (12778560).

Almost surely, 2^521883264 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 521883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817827840).

521883264 is an abundant number, since it is smaller than the sum of its proper divisors (1113772416).

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

521883264 is a wasteful number, since it uses less digits than its factorization.

521883264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6318 (or 6306 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 521883264 is about 22844.7644767899. The cubic root of 521883264 is about 805.1147626464.

It can be divided in two parts, 521 and 883264, that added together give a triangular number (883785 = T₁₃₂₉).

The spelling of 521883264 in words is "five hundred twenty-one million, eight hundred eighty-three thousand, two hundred sixty-four".