5213819520 has 960 divisors, whose sum is σ = 23398993800. Its totient is φ = 1062125568.

The previous prime is 5213819483. The next prime is 5213819543. The reversal of 5213819520 is 259183125.

5213819520 is a `hidden beast` number, since 52 + 1 + 3 + 81 + 9 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3320525376 + 1893294144 = 57624^2 + 43512^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 179786866 + ... + 179786894.

Almost surely, 2^5213819520 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 5213819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699496900).

5213819520 is an abundant number, since it is smaller than the sum of its proper divisors (18185174280).

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

5213819520 is a wasteful number, since it uses less digits than its factorization.

5213819520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5213819520 is about 72206.7830608732. The cubic root of 5213819520 is about 1734.0115978040.

The spelling of 5213819520 in words is "five billion, two hundred thirteen million, eight hundred nineteen thousand, five hundred twenty".