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551503313361 = 347111331121871
BaseRepresentation
bin10000000011010000010…
…10001011100111010001
31221201112012210010010000
420001220022023213101
533013434322011421
61101205050000213
754562523550030
oct10015012134721
91851465703100
10551503313361
111a2989274090
128aa75416069
134001149cc20
141c99b47a717
15e52c479226
hex806828b9d1

551503313361 has 160 divisors (see below), whose sum is σ = 1109756583936. Its totient is φ = 263594736000.

The previous prime is 551503313323. The next prime is 551503313377. The reversal of 551503313361 is 163313305155.

551503313361 is a `hidden beast` number, since 5 + 515 + 0 + 3 + 3 + 133 + 6 + 1 = 666.

It is not a de Polignac number, because 551503313361 - 235 = 517143574993 is a prime.

It is a super-2 number, since 2×5515033133612 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (551503313381) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25205256 + ... + 25227126.

Almost surely, 2551503313361 is an apocalyptic number.

It is an amenable number.

551503313361 is an abundant number, since it is smaller than the sum of its proper divisors (558253270575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

551503313361 is a wasteful number, since it uses less digits than its factorization.

551503313361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22225 (or 22216 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The spelling of 551503313361 in words is "five hundred fifty-one billion, five hundred three million, three hundred thirteen thousand, three hundred sixty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 143 189 231 273 297 311 351 429 567 693 819 891 933 1001 1053 1287 2079 2177 2457 2799 3003 3421 3861 4043 6237 6531 7371 8397 9009 10263 11583 12129 19593 21871 23947 25191 27027 28301 30789 36387 44473 58779 65613 71841 81081 84903 92367 109161 133419 153097 176337 196839 215523 240581 254709 277101 284323 311311 327483 400257 459291 590517 646569 721743 764127 852969 933933 1200771 1377873 1684067 1771551 1939707 1990261 2165229 2292381 2558907 2801799 3127553 3602313 4133619 5052201 5970783 6495687 6801881 7676721 8405397 9382659 12400857 15156603 17912349 19487061 20405643 21892871 23030163 25216191 28147977 45469809 47613167 53737047 61216929 65678613 74820691 84443931 88424453 136409427 142839501 161211141 183650787 197035839 224462073 253331793 265273359 428518503 523744837 550952361 591107517 618971171 673386219 795820077 972668983 1285555509 1571234511 1773322551 1856913513 2020158657 2387460231 2918006949 3856666527 4713703533 5570740539 6060475971 6808682881 7162380693 8754020847 14141110599 16712221617 20426048643 26262062541 42423331797 50136664851 61278145929 78786187623 183834437787 551503313361