5213311200 has 288 divisors, whose sum is σ = 19848729600. Its totient is φ = 1316943360.

The previous prime is 5213311153. The next prime is 5213311217. The reversal of 5213311200 is 21133125.

5213311200 is a `hidden beast` number, since 521 + 33 + 112 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5213311200² = 54357227336090880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404049 + ... + 416751.

It is an arithmetic number, because the mean of its divisors is an integer number (68919200).

Almost surely, 2^5213311200 is an apocalyptic number.

5213311200 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 5213311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9924364800).

5213311200 is an abundant number, since it is smaller than the sum of its proper divisors (14635418400).

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

5213311200 is a wasteful number, since it uses less digits than its factorization.

5213311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12751 (or 12732 counting only the distinct ones).

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

The square root of 5213311200 is about 72203.2630841571. The cubic root of 5213311200 is about 1733.9552436335.

Adding to 5213311200 its reverse (21133125), we get a palindrome (5234444325).

The spelling of 5213311200 in words is "five billion, two hundred thirteen million, three hundred eleven thousand, two hundred".