5319434832100 has 81 divisors (see below), whose sum is σ = 12263029460283. Its totient is φ = 2002463151360.

The previous prime is 5319434832067. The next prime is 5319434832109. The reversal of 5319434832100 is 12384349135.

The square root of 5319434832100 is 2306390.

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 124426918564 + 5195007913536 = 352742^2 + 2279256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5319434832109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 392079517 + ... + 392093083.

Almost surely, 2^{5319434832100} is an apocalyptic number.

5319434832100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5319434832100 is the 2306390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5319434832100

5319434832100 is an abundant number, since it is smaller than the sum of its proper divisors (6943594628183).

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

5319434832100 is an equidigital number, since it uses as much as digits as its factorization.

5319434832100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27182 (or 13591 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 5319434832100 in words is "five trillion, three hundred nineteen billion, four hundred thirty-four million, eight hundred thirty-two thousand, one hundred".