1083660561 has 9 divisors (see below), whose sum is σ = 1565430139. Its totient is φ = 722374536.

The previous prime is 1083660559. The next prime is 1083660581. The reversal of 1083660561 is 1650663801.

It is a happy number.

The square root of 1083660561 is 32919.

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

1083660561 is a `hidden beast` number, since 1 + 0 + 8 + 36 + 60 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 610337025 + 473323536 = 24705^2 + 21756^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1083660561 - 2¹ = 1083660559 is a prime.

It is a super-2 number, since 2×1083660561² = 2348640422933669442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1083660581) 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, 93271 + ... + 104243.

Almost surely, 2^1083660561 is an apocalyptic number.

1083660561 is the 32919-th square number.

1083660561 is the 16460-th centered octagonal number.

It is an amenable number.

1083660561 is a deficient number, since it is larger than the sum of its proper divisors (481769578).

1083660561 is an frugal number, since it uses more digits than its factorization.

1083660561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21952 (or 10976 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 1083660561 is about 1027.1434221875.

Multiplying 1083660561 by its sum of digits (36), we get a square (39011780196 = 197514²).

The spelling of 1083660561 in words is "one billion, eighty-three million, six hundred sixty thousand, five hundred sixty-one".