5201314560 has 720 divisors, whose sum is σ = 21315371616. Its totient is φ = 1199702016.

The previous prime is 5201314537. The next prime is 5201314589. The reversal of 5201314560 is 654131025.

5201314560 is a `hidden beast` number, since 5 + 201 + 3 + 1 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22913167 + ... + 22913393.

Almost surely, 2^5201314560 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 5201314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10657685808).

5201314560 is an abundant number, since it is smaller than the sum of its proper divisors (16114057056).

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

5201314560 is a wasteful number, since it uses less digits than its factorization.

5201314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5201314560 is about 72120.1397669195. The cubic root of 5201314560 is about 1732.6241885453.

Adding to 5201314560 its reverse (654131025), we get a palindrome (5855445585).

The spelling of 5201314560 in words is "five billion, two hundred one million, three hundred fourteen thousand, five hundred sixty".