5161200 has 240 divisors, whose sum is σ = 19927296. Its totient is φ = 1126400.

The previous prime is 5161187. The next prime is 5161229. The reversal of 5161200 is 21615.

5161200 = 386² + 387² + ... + 417².

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5161200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224389 + ... + 224411.

Almost surely, 2^5161200 is an apocalyptic number.

5161200 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 5161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963648).

5161200 is an abundant number, since it is smaller than the sum of its proper divisors (14766096).

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

5161200 is a wasteful number, since it uses less digits than its factorization.

5161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 5161200 is about 2271.8274582371. The cubic root of 5161200 is about 172.8158464549.

Adding to 5161200 its reverse (21615), we get a palindrome (5182815).

The spelling of 5161200 in words is "five million, one hundred sixty-one thousand, two hundred".