729031248413101 has 4 divisors (see below), whose sum is σ = 754170256979100. Its totient is φ = 703892239847104.

The previous prime is 729031248413093. The next prime is 729031248413129. The reversal of 729031248413101 is 101314842130927.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 542360100967876 + 186671147445225 = 23288626^2 + 13662765^2 .

It is a cyclic number.

It is not a de Polignac number, because 729031248413101 - 2³ = 729031248413093 is a prime.

It is a super-2 number, since 2×729031248413101² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729031248413161) 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 3 ways as a sum of consecutive naturals, for example, 12569504282956 + ... + 12569504283013.

It is an arithmetic number, because the mean of its divisors is an integer number (188542564244775).

Almost surely, 2^{729031248413101} is an apocalyptic number.

It is an amenable number.

729031248413101 is a deficient number, since it is larger than the sum of its proper divisors (25139008565999).

729031248413101 is a wasteful number, since it uses less digits than its factorization.

729031248413101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25139008565998.

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 729031248413101 in words is "seven hundred twenty-nine trillion, thirty-one billion, two hundred forty-eight million, four hundred thirteen thousand, one hundred one".