521080560 has 640 divisors, whose sum is σ = 2419845120. Its totient is φ = 99532800.

The previous prime is 521080523. The next prime is 521080561. The reversal of 521080560 is 65080125.

521080560 is a `hidden beast` number, since 5 + 21 + 0 + 80 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521080561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2162040 + ... + 2162280.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2^521080560 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 521080560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209922560).

521080560 is an abundant number, since it is smaller than the sum of its proper divisors (1898764560).

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

521080560 is a wasteful number, since it uses less digits than its factorization.

521080560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 521080560 is about 22827.1890516550. The cubic root of 521080560 is about 804.7017708859.

The spelling of 521080560 in words is "five hundred twenty-one million, eighty thousand, five hundred sixty".