5114789328100 has 81 divisors (see below), whose sum is σ = 11603823457723. Its totient is φ = 1956763853440.

The previous prime is 5114789328097. The next prime is 5114789328107. The reversal of 5114789328100 is 18239874115.

The square root of 5114789328100 is 2261590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 74836167844 + 5039953160256 = 273562^2 + 2244984^2 .

It is a super-2 number, since 2×5114789328100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5114789328107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 520160784 + ... + 520170616.

Almost surely, 2^{5114789328100} is an apocalyptic number.

5114789328100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5114789328100 is the 2261590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5114789328100

5114789328100 is an abundant number, since it is smaller than the sum of its proper divisors (6489034129623).

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

5114789328100 is an frugal number, since it uses more digits than its factorization.

5114789328100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19726 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

Multiplying 5114789328100 by its sum of digits (49), we get a square (250624677076900 = 15831130²).

It can be divided in two parts, 5114789 and 328100, that added together give a square (5442889 = 2333²).

The spelling of 5114789328100 in words is "five trillion, one hundred fourteen billion, seven hundred eighty-nine million, three hundred twenty-eight thousand, one hundred".