10661182009 has 9 divisors (see below), whose sum is σ = 10806109797. Its totient is φ = 10518176604.

The previous prime is 10661181977. The next prime is 10661182027. The reversal of 10661182009 is 90028116601.

The square root of 10661182009 is 103253.

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

It is not a de Polignac number, because 10661182009 - 2⁵ = 10661181977 is a prime.

It is a super-2 number, since 2×10661182009² (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 (10661182099) 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, 8156334 + ... + 8157640.

Almost surely, 2^10661182009 is an apocalyptic number.

10661182009 is the 103253-rd square number.

10661182009 is the 51627-th centered octagonal number.

It is an amenable number.

10661182009 is a deficient number, since it is larger than the sum of its proper divisors (144927788).

10661182009 is an frugal number, since it uses more digits than its factorization.

10661182009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

Multiplying 10661182009 by its product of nonzero digits (5184), we get a square (55267567534656 = 7434216²).

The spelling of 10661182009 in words is "ten billion, six hundred sixty-one million, one hundred eighty-two thousand, nine".