5311200 has 72 divisors (see below), whose sum is σ = 17295768. Its totient is φ = 1415680.

The previous prime is 5311171. The next prime is 5311217. The reversal of 5311200 is 21135.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1294 + ... + 3506.

It is an arithmetic number, because the mean of its divisors is an integer number (240219).

Almost surely, 2^5311200 is an apocalyptic number.

5311200 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 5311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8647884).

5311200 is an abundant number, since it is smaller than the sum of its proper divisors (11984568).

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

5311200 is a wasteful number, since it uses less digits than its factorization.

5311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 5311200 is about 2304.6040874736. The cubic root of 5311200 is about 174.4740672404.

Adding to 5311200 its reverse (21135), we get a palindrome (5332335).

The spelling of 5311200 in words is "five million, three hundred eleven thousand, two hundred".