520011648 has 144 divisors (see below), whose sum is σ = 1620955440. Its totient is φ = 159943680.

The previous prime is 520011637. The next prime is 520011677. The reversal of 520011648 is 846110025.

520011648 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 11 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×520011648² = 540824228111351808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 193353 + ... + 196023.

It is an arithmetic number, because the mean of its divisors is an integer number (11256635).

Almost surely, 2^520011648 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 520011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810477720).

520011648 is an abundant number, since it is smaller than the sum of its proper divisors (1100943792).

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

520011648 is a wasteful number, since it uses less digits than its factorization.

520011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 520011648 is about 22803.7638998478. The cubic root of 520011648 is about 804.1511559568.

The spelling of 520011648 in words is "five hundred twenty million, eleven thousand, six hundred forty-eight".