10509827329 has 4 divisors (see below), whose sum is σ = 11128052484. Its totient is φ = 9891602176.

The previous prime is 10509827323. The next prime is 10509827369. The reversal of 10509827329 is 92372890501.

10509827329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 92372890501 = 19 ⋅4861731079.

It can be written as a sum of positive squares in 2 ways, for example, as 9297394929 + 1212432400 = 96423^2 + 34820^2 .

It is a cyclic number.

It is not a de Polignac number, because 10509827329 - 2⁷ = 10509827201 is a prime.

It is a super-2 number, since 2×10509827329² (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 (10509827323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 309112552 + ... + 309112585.

It is an arithmetic number, because the mean of its divisors is an integer number (2782013121).

Almost surely, 2^10509827329 is an apocalyptic number.

It is an amenable number.

10509827329 is a deficient number, since it is larger than the sum of its proper divisors (618225155).

10509827329 is an equidigital number, since it uses as much as digits as its factorization.

10509827329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618225154.

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 10509827329 in words is "ten billion, five hundred nine million, eight hundred twenty-seven thousand, three hundred twenty-nine".