729759536161 has 2 divisors, whose sum is σ = 729759536162. Its totient is φ = 729759536160.

The previous prime is 729759536119. The next prime is 729759536257. The reversal of 729759536161 is 161635957927.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 501184707136 + 228574829025 = 707944^2 + 478095^2 .

It is an emirp because it is prime and its reverse (161635957927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 729759536161 - 2¹⁵ = 729759503393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 729759536161.

It is not a weakly prime, because it can be changed into another prime (729759536761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364879768080 + 364879768081.

It is an arithmetic number, because the mean of its divisors is an integer number (364879768081).

Almost surely, 2^729759536161 is an apocalyptic number.

It is an amenable number.

729759536161 is a deficient number, since it is larger than the sum of its proper divisors (1).

729759536161 is an equidigital number, since it uses as much as digits as its factorization.

729759536161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21432600, while the sum is 61.

The spelling of 729759536161 in words is "seven hundred twenty-nine billion, seven hundred fifty-nine million, five hundred thirty-six thousand, one hundred sixty-one".