3005561329 has 9 divisors (see below), whose sum is σ = 3051360459. Its totient is φ = 2960442000.

The previous prime is 3005561323. The next prime is 3005561381. The reversal of 3005561329 is 9231655003.

It is a happy number.

The square root of 3005561329 is 54823.

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

It can be written as a sum of positive squares in only one way, i.e., 1706103025 + 1299458304 = 41305^2 + 36048^2 .

It is not a de Polignac number, because 3005561329 - 2⁵ = 3005561297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3005561294 and 3005561303.

It is not an unprimeable number, because it can be changed into a prime (3005561323) 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 8 ways as a sum of consecutive naturals, for example, 4001704 + ... + 4002454.

It is an arithmetic number, because the mean of its divisors is an integer number (339040051).

Almost surely, 2^3005561329 is an apocalyptic number.

3005561329 is the 54823-rd square number.

3005561329 is the 27412-nd centered octagonal number.

It is an amenable number.

3005561329 is a deficient number, since it is larger than the sum of its proper divisors (45799130).

3005561329 is an frugal number, since it uses more digits than its factorization.

3005561329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 34.

The cubic root of 3005561329 is about 1443.1402228838.

The spelling of 3005561329 in words is "three billion, five million, five hundred sixty-one thousand, three hundred twenty-nine".