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505515253243 = 7111331412511583
BaseRepresentation
bin1110101101100110000…
…11101001110111111011
31210022211020010121101011
413112303003221313323
531240243401100433
61024121442134351
751344065520020
oct7266303516773
91708736117334
10505515253243
1118542a1aa930
1281b800513b7
1338892972430
141a6778cb547
15d239e173cd
hex75b30e9dfb

505515253243 has 128 divisors (see below), whose sum is σ = 721031528448. Its totient is φ = 341712000000.

The previous prime is 505515253241. The next prime is 505515253261. The reversal of 505515253243 is 342352515505.

It is not a de Polignac number, because 505515253243 - 21 = 505515253241 is a prime.

It is a super-2 number, since 2×5055152532432 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505515253196 and 505515253205.

It is not an unprimeable number, because it can be changed into a prime (505515253241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 319339230 + ... + 319340812.

It is an arithmetic number, because the mean of its divisors is an integer number (5633058816).

Almost surely, 2505515253243 is an apocalyptic number.

505515253243 is a deficient number, since it is larger than the sum of its proper divisors (215516275205).

505515253243 is a wasteful number, since it uses less digits than its factorization.

505515253243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937.

The product of its (nonzero) digits is 450000, while the sum is 40.

Adding to 505515253243 its reverse (342352515505), we get a palindrome (847867768748).

The spelling of 505515253243 in words is "five hundred five billion, five hundred fifteen million, two hundred fifty-three thousand, two hundred forty-three".

Divisors: 1 7 11 13 31 41 77 91 143 217 251 287 341 403 451 533 1001 1271 1583 1757 2387 2761 2821 3157 3263 3731 4433 5863 7781 8897 10291 11081 13981 16523 17413 19327 20579 22841 31031 35893 41041 49073 54467 64903 72037 85591 97867 101153 113201 115661 121891 133783 144053 181753 226369 251251 319021 343511 397333 454321 539803 599137 637949 708071 713933 792407 843739 936481 1112683 1272271 1471613 1584583 2011993 2233147 2781331 3509231 3778621 4147273 4370663 4465643 4997531 5165329 5906173 7017439 7788781 9281129 10301291 12317323 14083951 16290653 22131923 24564617 26155909 29030911 30594641 36157303 45620003 49122073 56818619 64967903 86221261 114034571 135490553 154923461 160125199 179197183 183091363 211778489 287714999 319340021 397730333 505010243 948433871 1120876393 1254380281 1482449423 1761377189 2014004993 2329563379 3535071701 5555112673 6565133159 12329640323 16306943653 38885788711 45955932113 72216464749 505515253243