5130871168 has 64 divisors (see below), whose sum is σ = 10613916000. Its totient is φ = 2467655680.

The previous prime is 5130871157. The next prime is 5130871177. The reversal of 5130871168 is 8611780315.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5130871168² = 52651677885227368448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5130871168.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1040613 + ... + 1045531.

Almost surely, 2^5130871168 is an apocalyptic number.

5130871168 is a gapful number since it is divisible by the number (58) 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 5130871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306958000).

5130871168 is an abundant number, since it is smaller than the sum of its proper divisors (5483044832).

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

5130871168 is a wasteful number, since it uses less digits than its factorization.

5130871168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5243 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 5130871168 is about 71630.0995950725. The cubic root of 5130871168 is about 1724.7667449641.

The spelling of 5130871168 in words is "five billion, one hundred thirty million, eight hundred seventy-one thousand, one hundred sixty-eight".