520561584 has 120 divisors (see below), whose sum is σ = 1533360192. Its totient is φ = 164643840.

The previous prime is 520561583. The next prime is 520561627. The reversal of 520561584 is 485165025.

520561584 is a `hidden beast` number, since 5 + 20 + 56 + 1 + 584 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (520561583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217257 + ... + 219639.

Almost surely, 2^520561584 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 520561584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766680096).

520561584 is an abundant number, since it is smaller than the sum of its proper divisors (1012798608).

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

520561584 is a wasteful number, since it uses less digits than its factorization.

520561584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 520561584 is about 22815.8187229825. The cubic root of 520561584 is about 804.4345315760.

The spelling of 520561584 in words is "five hundred twenty million, five hundred sixty-one thousand, five hundred eighty-four".