5193430788100 has 81 divisors (see below), whose sum is σ = 11323956322623. Its totient is φ = 2067427152000.

The previous prime is 5193430788067. The next prime is 5193430788131. The reversal of 5193430788100 is 18870343915.

It is a happy number.

The square root of 5193430788100 is 2278910.

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 7390153156 + 5186040634944 = 85966^2 + 2277288^2 .

It is a super-2 number, since 2×5193430788100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6403736695 + ... + 6403737505.

Almost surely, 2^{5193430788100} is an apocalyptic number.

5193430788100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5193430788100 is the 2278910-th square number.

It is an amenable number.

5193430788100 is an abundant number, since it is smaller than the sum of its proper divisors (6130525534523).

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

5193430788100 is an frugal number, since it uses more digits than its factorization.

5193430788100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 5193430788100 by its sum of digits (49), we get a square (254478108616900 = 15952370²).

The spelling of 5193430788100 in words is "five trillion, one hundred ninety-three billion, four hundred thirty million, seven hundred eighty-eight thousand, one hundred".