5171267200 has 192 divisors, whose sum is σ = 14076465120. Its totient is φ = 1861529600.

The previous prime is 5171267173. The next prime is 5171267209. The reversal of 5171267200 is 27621715.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5171267209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3765714 + ... + 3767086.

Almost surely, 2^5171267200 is an apocalyptic number.

5171267200 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 5171267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7038232560).

5171267200 is an abundant number, since it is smaller than the sum of its proper divisors (8905197920).

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

5171267200 is a wasteful number, since it uses less digits than its factorization.

5171267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 5171267200 is about 71911.5234159311. The cubic root of 5171267200 is about 1729.2813569901.

Adding to 5171267200 its reverse (27621715), we get a palindrome (5198888915).

The spelling of 5171267200 in words is "five billion, one hundred seventy-one million, two hundred sixty-seven thousand, two hundred".