5220613133568 has 576 divisors, whose sum is σ = 18109367754240. Its totient is φ = 1452382617600.

The previous prime is 5220613133557. The next prime is 5220613133569. The reversal of 5220613133568 is 8653313160225.

5220613133568 is a `hidden beast` number, since 5 + 2 + 20 + 6 + 1 + 31 + 33 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5220613133569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1144618008 + ... + 1144622568.

Almost surely, 2^{5220613133568} 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 5220613133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9054683877120).

5220613133568 is an abundant number, since it is smaller than the sum of its proper divisors (12888754620672).

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

5220613133568 is a wasteful number, since it uses less digits than its factorization.

5220613133568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 5220613133568 in words is "five trillion, two hundred twenty billion, six hundred thirteen million, one hundred thirty-three thousand, five hundred sixty-eight".