10982411209 has 27 divisors (see below), whose sum is σ = 14052770823. Its totient is φ = 8551435200.

The previous prime is 10982411201. The next prime is 10982411221. The reversal of 10982411209 is 90211428901.

The square root of 10982411209 is 104797.

It is a perfect power (a square), and thus also a powerful number.

10982411209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1865980809 + 9116430400 = 43197^2 + 95480^2 .

It is not a de Polignac number, because 10982411209 - 2³ = 10982411201 is a prime.

It is a super-2 number, since 2×10982411209² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10982411201) 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 26 ways as a sum of consecutive naturals, for example, 8068689 + ... + 8070049.

Almost surely, 2^10982411209 is an apocalyptic number.

10982411209 is the 104797-th square number.

10982411209 is the 52399-th centered octagonal number.

It is an amenable number.

10982411209 is a deficient number, since it is larger than the sum of its proper divisors (3070359614).

10982411209 is an frugal number, since it uses more digits than its factorization.

10982411209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 10982411209 in words is "ten billion, nine hundred eighty-two million, four hundred eleven thousand, two hundred nine".