5213208000 has 1344 divisors, whose sum is σ = 24284123136. Its totient is φ = 967680000.

The previous prime is 5213207999. The next prime is 5213208041. The reversal of 5213208000 is 8023125.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168167985 + ... + 168168015.

It is an arithmetic number, because the mean of its divisors is an integer number (18068544).

Almost surely, 2^5213208000 is an apocalyptic number.

5213208000 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 5213208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142061568).

5213208000 is an abundant number, since it is smaller than the sum of its proper divisors (19070915136).

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

5213208000 is a wasteful number, since it uses less digits than its factorization.

5213208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5213208000 is about 72202.5484314785. The cubic root of 5213208000 is about 1733.9438020657.

The spelling of 5213208000 in words is "five billion, two hundred thirteen million, two hundred eight thousand".