8961083569 has 9 divisors (see below), whose sum is σ = 9028127979. Its totient is φ = 8894535480.

The previous prime is 8961083557. The next prime is 8961083581. The reversal of 8961083569 is 9653801698.

It is a happy number.

The square root of 8961083569 is 94663.

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

It is an interprime number because it is at equal distance from previous prime (8961083557) and next prime (8961083581).

It can be written as a sum of positive squares in only one way, i.e., 98743969 + 8862339600 = 9937^2 + 94140^2 .

It is not a de Polignac number, because 8961083569 - 2⁹ = 8961083057 is a prime.

It is a super-2 number, since 2×8961083569² (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 (8961083269) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17133742 + ... + 17134264.

It is an arithmetic number, because the mean of its divisors is an integer number (1003125331).

Almost surely, 2^8961083569 is an apocalyptic number.

8961083569 is the 94663-rd square number.

8961083569 is the 47332-nd centered octagonal number.

It is an amenable number.

8961083569 is a deficient number, since it is larger than the sum of its proper divisors (67044410).

8961083569 is an frugal number, since it uses more digits than its factorization.

8961083569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The cubic root of 8961083569 is about 2077.0813639376.

The spelling of 8961083569 in words is "eight billion, nine hundred sixty-one million, eighty-three thousand, five hundred sixty-nine".