5191200 has 216 divisors, whose sum is σ = 21123648. Its totient is φ = 1175040.

The previous prime is 5191187. The next prime is 5191213. The reversal of 5191200 is 21915.

It is an interprime number because it is at equal distance from previous prime (5191187) and next prime (5191213).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50349 + ... + 50451.

Almost surely, 2^5191200 is an apocalyptic number.

5191200 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 5191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561824).

5191200 is an abundant number, since it is smaller than the sum of its proper divisors (15932448).

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

5191200 is a wasteful number, since it uses less digits than its factorization.

5191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 5191200 is about 2278.4205055257. The cubic root of 5191200 is about 173.1500363467.

The spelling of 5191200 in words is "five million, one hundred ninety-one thousand, two hundred".