10511785729 has 27 divisors (see below), whose sum is σ = 11547292617. Its totient is φ = 9566999424.

The previous prime is 10511785717. The next prime is 10511785751. The reversal of 10511785729 is 92758711501.

The square root of 10511785729 is 102527.

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 4889785329 + 5622000400 = 69927^2 + 74980^2 .

It is not a de Polignac number, because 10511785729 - 2²¹ = 10509688577 is a prime.

It is a super-2 number, since 2×10511785729² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10511785429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64489402 + ... + 64489564.

Almost surely, 2^10511785729 is an apocalyptic number.

10511785729 is the 102527-th square number.

10511785729 is the 51264-th centered octagonal number.

It is an amenable number.

10511785729 is a deficient number, since it is larger than the sum of its proper divisors (1035506888).

10511785729 is an frugal number, since it uses more digits than its factorization.

10511785729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 46.

The spelling of 10511785729 in words is "ten billion, five hundred eleven million, seven hundred eighty-five thousand, seven hundred twenty-nine".