10822303734529 has 27 divisors (see below), whose sum is σ = 12649744867977. Its totient is φ = 9231868767744.

The previous prime is 10822303734491. The next prime is 10822303734533. The reversal of 10822303734529 is 92543730322801.

The square root of 10822303734529 is 3289727.

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

10822303734529 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 4 ways, for example, as 44214734529 + 10778089000000 = 210273^2 + 3283000^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10822303734529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (10822303734559) 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, 5365543729 + ... + 5365545745.

Almost surely, 2^{10822303734529} is an apocalyptic number.

10822303734529 is the 3289727-th square number.

10822303734529 is the 1644864-th centered octagonal number.

It is an amenable number.

10822303734529 is a deficient number, since it is larger than the sum of its proper divisors (1827441133448).

10822303734529 is an frugal number, since it uses more digits than its factorization.

10822303734529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 10822303734529 by its sum of digits (49), we get a square (530292882991921 = 23028089²).

10822303734529 divided by its sum of digits (49) gives a square (220863341521 = 469961²).

The spelling of 10822303734529 in words is "ten trillion, eight hundred twenty-two billion, three hundred three million, seven hundred thirty-four thousand, five hundred twenty-nine".