10729513117 has 6 divisors (see below), whose sum is σ = 11020147098. Its totient is φ = 10438913232.

The previous prime is 10729513099. The next prime is 10729513121. The reversal of 10729513117 is 71131592701.

It can be written as a sum of positive squares in 3 ways, for example, as 7014732516 + 3714780601 = 83754^2 + 60949^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10729513117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10729513147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 621559 + ... + 638587.

It is an arithmetic number, because the mean of its divisors is an integer number (1836691183).

Almost surely, 2^10729513117 is an apocalyptic number.

It is an amenable number.

10729513117 is a deficient number, since it is larger than the sum of its proper divisors (290633981).

10729513117 is an frugal number, since it uses more digits than its factorization.

10729513117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34095 (or 17066 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 37.

Multiplying 10729513117 by its sum of digits (37), we get a square (396991985329 = 630073²).

10729513117 divided by its sum of digits (37) gives a square (289986841 = 17029²).

The spelling of 10729513117 in words is "ten billion, seven hundred twenty-nine million, five hundred thirteen thousand, one hundred seventeen".