5171241600 has 576 divisors, whose sum is σ = 21368543040. Its totient is φ = 1166376960.

The previous prime is 5171241557. The next prime is 5171241601. The reversal of 5171241600 is 61421715.

It is a happy number.

5171241600 is a `hidden beast` number, since 5 + 1 + 7 + 12 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5171241601) 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 71 ways as a sum of consecutive naturals, for example, 22780687 + ... + 22780913.

It is an arithmetic number, because the mean of its divisors is an integer number (37098165).

Almost surely, 2^5171241600 is an apocalyptic number.

5171241600 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 5171241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10684271520).

5171241600 is an abundant number, since it is smaller than the sum of its proper divisors (16197301440).

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

5171241600 is a wasteful number, since it uses less digits than its factorization.

5171241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5171241600 is about 71911.3454192035. The cubic root of 5171241600 is about 1729.2785034229.

The spelling of 5171241600 in words is "five billion, one hundred seventy-one million, two hundred forty-one thousand, six hundred".