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560130999561 = 327215722272
BaseRepresentation
bin10000010011010100110…
…10001100010100001001
31222112210111021222121100
420021222122030110021
533134122013441221
61105153131132013
755316365640100
oct10115232142411
91875714258540
10560130999561
111a660638a461
12906828a4009
1340a87a836a3
141d179257037
15e884b10926
hex826a68c509

560130999561 has 81 divisors (see below), whose sum is σ = 951396501159. Its totient is φ = 316635123168.

The previous prime is 560130999553. The next prime is 560130999563. The reversal of 560130999561 is 165999031065.

It is a happy number.

The square root of 560130999561 is 748419.

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

560130999561 is a `hidden beast` number, since 5 + 60 + 13 + 0 + 9 + 9 + 9 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164182988025 + 395948011536 = 405195^2 + 629244^2 .

It is not a de Polignac number, because 560130999561 - 23 = 560130999553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 560130999498 and 560130999507.

It is not an unprimeable number, because it can be changed into a prime (560130999563) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2467537330 + ... + 2467537556.

Almost surely, 2560130999561 is an apocalyptic number.

560130999561 is the 748419-th square number.

560130999561 is the 374210-th centered octagonal number.

It is an amenable number.

560130999561 is a deficient number, since it is larger than the sum of its proper divisors (391265501598).

560130999561 is an equidigital number, since it uses as much as digits as its factorization.

560130999561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 560130999561 in words is "five hundred sixty billion, one hundred thirty million, nine hundred ninety-nine thousand, five hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 157 227 441 471 681 1099 1413 1589 2043 3297 4767 7693 9891 11123 14301 23079 24649 33369 35639 51529 69237 73947 100107 106917 154587 172543 221841 249473 320751 360703 463761 517629 748419 1082109 1207801 1552887 1746311 2245257 2524921 3246327 3623403 5238933 5595323 7574763 8090053 10870209 15716799 16785969 22724289 24270159 39167261 50357907 56630371 72810477 117501783 169891113 274170827 352505349 396412597 509673339 822512481 1189237791 1270138321 2467537443 3567713373 3810414963 8890968247 11431244889 26672904741 62236777729 80018714223 186710333187 560130999561