5010479328100 has 27 divisors (see below), whose sum is σ = 10872788715691. Its totient is φ = 2004182777600.

The previous prime is 5010479328079. The next prime is 5010479328157. The reversal of 5010479328100 is 18239740105.

The square root of 5010479328100 is 2238410.

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 3047140307236 + 1963339020864 = 1745606^2 + 1401192^2 .

It is a super-2 number, since 2×5010479328100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22272180 + ... + 22496020.

Almost surely, 2^{5010479328100} is an apocalyptic number.

5010479328100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5010479328100 is the 2238410-th square number.

It is an amenable number.

5010479328100 is an abundant number, since it is smaller than the sum of its proper divisors (5862309387591).

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

5010479328100 is an frugal number, since it uses more digits than its factorization.

5010479328100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447696 (or 223848 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 5010479328100 in words is "five trillion, ten billion, four hundred seventy-nine million, three hundred twenty-eight thousand, one hundred".