51072319320100 has 81 divisors (see below), whose sum is σ = 120010045351833. Its totient is φ = 18857128717440.

The previous prime is 51072319320079. The next prime is 51072319320167. The reversal of 51072319320100 is 102391327015.

The square root of 51072319320100 is 7146490.

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

51072319320100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 49509039222756 + 1563280097344 = 7036266^2 + 1250312^2 .

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 26 ways as a sum of consecutive naturals, for example, 929016214 + ... + 929071186.

Almost surely, 2^{51072319320100} is an apocalyptic number.

51072319320100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51072319320100 is the 7146490-th square number.

It is an amenable number.

51072319320100 is an abundant number, since it is smaller than the sum of its proper divisors (68937726031733).

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

51072319320100 is an frugal number, since it uses more digits than its factorization.

51072319320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109986 (or 54993 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The spelling of 51072319320100 in words is "fifty-one trillion, seventy-two billion, three hundred nineteen million, three hundred twenty thousand, one hundred".