51305360026176 has 147 divisors (see below), whose sum is σ = 152648386056313. Its totient is φ = 17101270955520.

The previous prime is 51305360026171. The next prime is 51305360026187. The reversal of 51305360026176 is 67162006350315.

The square root of 51305360026176 is 7162776.

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

51305360026176 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 5 + 3 + 600 + 26 + 17 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48859764480576 + 2445595545600 = 6989976^2 + 1563840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51305360026171) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1547143036 + ... + 1547176196.

Almost surely, 2^{51305360026176} is an apocalyptic number.

51305360026176 is the 7162776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51305360026176

51305360026176 is an abundant number, since it is smaller than the sum of its proper divisors (101343026030137).

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

51305360026176 is an frugal number, since it uses more digits than its factorization.

51305360026176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66352 (or 33166 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 51305360026176 in words is "fifty-one trillion, three hundred five billion, three hundred sixty million, twenty-six thousand, one hundred seventy-six".