5213160000 has 350 divisors, whose sum is σ = 19322619470. Its totient is φ = 1389312000.

The previous prime is 5213159971. The next prime is 5213160077. The reversal of 5213160000 is 613125.

5213160000 is a `hidden beast` number, since 52 + 13 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 642318336 + 4570841664 = 25344^2 + 67608^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3239196 + ... + 3240804.

Almost surely, 2^5213160000 is an apocalyptic number.

5213160000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5213160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9661309735).

5213160000 is an abundant number, since it is smaller than the sum of its proper divisors (14109459470).

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

5213160000 is an equidigital number, since it uses as much as digits as its factorization.

5213160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5213160000 is about 72202.2160324737. The cubic root of 5213160000 is about 1733.9384803547.

Adding to 5213160000 its reverse (613125), we get a palindrome (5213773125).

The spelling of 5213160000 in words is "five billion, two hundred thirteen million, one hundred sixty thousand".