5165200 has 60 divisors (see below), whose sum is σ = 12781300. Its totient is φ = 2004480.

The previous prime is 5165191. The next prime is 5165201. The reversal of 5165200 is 25615.

5165200 = T₃₃₃ + T₃₃₄ + ... + T₄₀₇.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 219024 + 4946176 = 468^2 + 2224^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5165201) 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, 14626 + ... + 14974.

Almost surely, 2^5165200 is an apocalyptic number.

5165200 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 5165200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390650).

5165200 is an abundant number, since it is smaller than the sum of its proper divisors (7616100).

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

5165200 is a wasteful number, since it uses less digits than its factorization.

5165200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 5165200 is about 2272.7076362788. The cubic root of 5165200 is about 172.8604798013.

The spelling of 5165200 in words is "five million, one hundred sixty-five thousand, two hundred".