5137171200 has 864 divisors, whose sum is σ = 22385233920. Its totient is φ = 1128038400.

The previous prime is 5137171177. The next prime is 5137171261. The reversal of 5137171200 is 21717315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37497532 + ... + 37497668.

Almost surely, 2^5137171200 is an apocalyptic number.

5137171200 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 5137171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11192616960).

5137171200 is an abundant number, since it is smaller than the sum of its proper divisors (17248062720).

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

5137171200 is a wasteful number, since it uses less digits than its factorization.

5137171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 5137171200 is about 71674.0622540679. The cubic root of 5137171200 is about 1725.4723848051.

Adding to 5137171200 its reverse (21717315), we get a palindrome (5158888515).

The spelling of 5137171200 in words is "five billion, one hundred thirty-seven million, one hundred seventy-one thousand, two hundred".