51380611072729 has 9 divisors (see below), whose sum is σ = 51519261682143. Its totient is φ = 51242332663872.

The previous prime is 51380611072631. The next prime is 51380611072811. The reversal of 51380611072729 is 92727011608315.

The square root of 51380611072729 is 7168027.

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

It can be written as a sum of positive squares in only one way, i.e., 49827716265625 + 1552894807104 = 7058875^2 + 1246152^2 .

It is not a de Polignac number, because 51380611072729 - 2²³ = 51380602684121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51380611072129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2716672777 + ... + 2716691689.

It is an arithmetic number, because the mean of its divisors is an integer number (5724362409127).

Almost surely, 2^{51380611072729} is an apocalyptic number.

51380611072729 is the 7168027-th square number.

51380611072729 is the 3584014-th centered octagonal number.

It is an amenable number.

51380611072729 is a deficient number, since it is larger than the sum of its proper divisors (138650609414).

51380611072729 is an frugal number, since it uses more digits than its factorization.

51380611072729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38584 (or 19292 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 52.

The spelling of 51380611072729 in words is "fifty-one trillion, three hundred eighty billion, six hundred eleven million, seventy-two thousand, seven hundred twenty-nine".