1006565566441 has 2 divisors, whose sum is σ = 1006565566442. Its totient is φ = 1006565566440.

The previous prime is 1006565566403. The next prime is 1006565566471. The reversal of 1006565566441 is 1446655656001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 792048380841 + 214517185600 = 889971^2 + 463160^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006565566441 - 2⁷ = 1006565566313 is a prime.

It is a super-5 number, since 5×1006565566441⁵ (a number of 61 digits) contains 55555 as substring.

It is not a weakly prime, because it can be changed into another prime (1006565566471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503282783220 + 503282783221.

It is an arithmetic number, because the mean of its divisors is an integer number (503282783221).

Almost surely, 2^{1006565566441} is an apocalyptic number.

It is an amenable number.

1006565566441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006565566441 is an equidigital number, since it uses as much as digits as its factorization.

1006565566441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 1006565566441 in words is "one trillion, six billion, five hundred sixty-five million, five hundred sixty-six thousand, four hundred forty-one".