5131200 has 84 divisors (see below), whose sum is σ = 16850360. Its totient is φ = 1367040.

The previous prime is 5131199. The next prime is 5131201. The reversal of 5131200 is 21315.

It is an interprime number because it is at equal distance from previous prime (5131199) and next prime (5131201).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5131201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4266 + ... + 5334.

Almost surely, 2^5131200 is an apocalyptic number.

5131200 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 5131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8425180).

5131200 is an abundant number, since it is smaller than the sum of its proper divisors (11719160).

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

5131200 is a wasteful number, since it uses less digits than its factorization.

5131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1079 counting only the distinct ones).

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

The square root of 5131200 is about 2265.2152215628. The cubic root of 5131200 is about 172.4803590324.

Adding to 5131200 its reverse (21315), we get a palindrome (5152515).

The spelling of 5131200 in words is "five million, one hundred thirty-one thousand, two hundred".