61152822280729 has 9 divisors (see below), whose sum is σ = 61248587287071. Its totient is φ = 61057206810600.

The previous prime is 61152822280721. The next prime is 61152822280763. The reversal of 61152822280729 is 92708222825116.

The square root of 61152822280729 is 7820027.

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

61152822280729 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 only one way, i.e., 60792039455625 + 360782825104 = 7796925^2 + 600652^2 .

It is not a de Polignac number, because 61152822280729 - 2³ = 61152822280721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61152822280729.

It is not an unprimeable number, because it can be changed into a prime (61152822280721) by changing a digit.

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, 5294152504 + ... + 5294164054.

Almost surely, 2^{61152822280729} is an apocalyptic number.

61152822280729 is the 7820027-th square number.

61152822280729 is the 3910014-th centered octagonal number.

It is an amenable number.

61152822280729 is a deficient number, since it is larger than the sum of its proper divisors (95765006342).

61152822280729 is an frugal number, since it uses more digits than its factorization.

61152822280729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24456 (or 12228 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 61152822280729 in words is "sixty-one trillion, one hundred fifty-two billion, eight hundred twenty-two million, two hundred eighty thousand, seven hundred twenty-nine".