5113975188100 has 27 divisors (see below), whose sum is σ = 11097375230991. Its totient is φ = 2045581029600.

The previous prime is 5113975188089. The next prime is 5113975188103. The reversal of 5113975188100 is 18815793115.

The square root of 5113975188100 is 2261410.

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 21695522436 + 5092279665664 = 147294^2 + 2256608^2 .

It is a super-2 number, since 2×5113975188100² (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 (5113975188103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22501030 + ... + 22727170.

Almost surely, 2^{5113975188100} is an apocalyptic number.

5113975188100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5113975188100 is the 2261410-th square number.

It is an amenable number.

5113975188100 is an abundant number, since it is smaller than the sum of its proper divisors (5983400042891).

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

5113975188100 is an frugal number, since it uses more digits than its factorization.

5113975188100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452296 (or 226148 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 49.

Multiplying 5113975188100 by its sum of digits (49), we get a square (250584784216900 = 15829870²).

The spelling of 5113975188100 in words is "five trillion, one hundred thirteen billion, nine hundred seventy-five million, one hundred eighty-eight thousand, one hundred".