5151200 has 72 divisors (see below), whose sum is σ = 12936672. Its totient is φ = 2001920.

The previous prime is 5151197. The next prime is 5151203. The reversal of 5151200 is 21515.

It is an interprime number because it is at equal distance from previous prime (5151197) and next prime (5151203).

It is a super-2 number, since 2×5151200² = 53069722880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5151203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37532 + ... + 37668.

It is an arithmetic number, because the mean of its divisors is an integer number (179676).

Almost surely, 2^5151200 is an apocalyptic number.

5151200 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 5151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468336).

5151200 is an abundant number, since it is smaller than the sum of its proper divisors (7785472).

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

5151200 is a wasteful number, since it uses less digits than its factorization.

5151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 5151200 is about 2269.6255197719. The cubic root of 5151200 is about 172.7041621057.

Adding to 5151200 its reverse (21515), we get a palindrome (5172715).

The spelling of 5151200 in words is "five million, one hundred fifty-one thousand, two hundred".