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1059271165681 = 10292092
BaseRepresentation
bin11110110101000010111…
…10110100011011110001
310202021011102120121111121
433122201132310123301
5114323341404300211
62130342241142241
7136346504230231
oct17324136643361
93667142517447
101059271165681
11379263a59a43
1215136392a981
1378b72a2c101
14393aa1b7cc1
151c849eed271
hexf6a17b46f1

1059271165681 has 3 divisors (see below), whose sum is σ = 1059272194891. Its totient is φ = 1059270136472.

The previous prime is 1059271165669. The next prime is 1059271165717. The reversal of 1059271165681 is 1865611729501.

The square root of 1059271165681 is 1029209.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 67812847281 + 991458318400 = 260409^2 + 995720^2 .

It is a de Polignac number, because none of the positive numbers 2k-1059271165681 is a prime.

It is a super-2 number, since 2×10592711656812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1059271165661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 514605 + ... + 1543813.

Almost surely, 21059271165681 is an apocalyptic number.

1059271165681 is the 1029209-th square number.

1059271165681 is the 514605-th centered octagonal number.

It is an amenable number.

1059271165681 is a deficient number, since it is larger than the sum of its proper divisors (1029210).

1059271165681 is an frugal number, since it uses more digits than its factorization.

1059271165681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058418 (or 1029209 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 52.

The spelling of 1059271165681 in words is "one trillion, fifty-nine billion, two hundred seventy-one million, one hundred sixty-five thousand, six hundred eighty-one".

Divisors: 1 1029209 1059271165681