729775524361 has 9 divisors (see below), whose sum is σ = 790242327189. Its totient is φ = 673628694336.

The previous prime is 729775524319. The next prime is 729775524409. The reversal of 729775524361 is 163425577927.

The square root of 729775524361 is 854269.

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 493683961 + 729281840400 = 22219^2 + 853980^2 .

It is not a de Polignac number, because 729775524361 - 2²¹ = 729773427209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 729775524296 and 729775524305.

It is not an unprimeable number, because it can be changed into a prime (729775524311) 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, 11072641 + ... + 11138353.

It is an arithmetic number, because the mean of its divisors is an integer number (87804703021).

Almost surely, 2^729775524361 is an apocalyptic number.

729775524361 is the 854269-th square number.

729775524361 is the 427135-th centered octagonal number.

It is an amenable number.

729775524361 is a deficient number, since it is larger than the sum of its proper divisors (60466802828).

729775524361 is an frugal number, since it uses more digits than its factorization.

729775524361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131452 (or 65726 counting only the distinct ones).

The product of its digits is 22226400, while the sum is 58.

The spelling of 729775524361 in words is "seven hundred twenty-nine billion, seven hundred seventy-five million, five hundred twenty-four thousand, three hundred sixty-one".