10565640261 has 18 divisors (see below), whose sum is σ = 16775017350. Its totient is φ = 6403417680.

The previous prime is 10565640227. The next prime is 10565640299. The reversal of 10565640261 is 16204656501.

10565640261 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 5 + 640 + 2 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9348956100 + 1216684161 = 96690^2 + 34881^2 .

It is not a de Polignac number, because 10565640261 - 2⁷ = 10565640133 is a prime.

It is a super-2 number, since 2×10565640261² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10565640221) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4849986 + ... + 4852163.

Almost surely, 2^10565640261 is an apocalyptic number.

10565640261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10565640261 is a deficient number, since it is larger than the sum of its proper divisors (6209377089).

10565640261 is a wasteful number, since it uses less digits than its factorization.

10565640261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9702177 (or 9702163 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10565640261 in words is "ten billion, five hundred sixty-five million, six hundred forty thousand, two hundred sixty-one".