Search a number
-
+
52515221305425 = 35217197329696041
BaseRepresentation
bin10111111000011001001110…
…00111000111100001010001
320212221101222001210021000020
423330030213013013201101
523340402133123233200
6303405054251014053
714030046065646354
oct1374144707074121
9225841861707006
1052515221305425
11158076423a342a
125a8197543a329
13233c219757ac8
14cd7a70a6c29b
15611094bebea0
hex2fc3271c7851

52515221305425 has 96 divisors (see below), whose sum is σ = 98096717301120. Its totient is φ = 24631083417600.

The previous prime is 52515221305409. The next prime is 52515221305439. The reversal of 52515221305425 is 52450312251525.

52515221305425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52515221305425 - 24 = 52515221305409 is a prime.

It is a super-2 number, since 2×525152213054252 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13079596 + ... + 16616445.

It is an arithmetic number, because the mean of its divisors is an integer number (1021840805220).

Almost surely, 252515221305425 is an apocalyptic number.

It is an amenable number.

52515221305425 is a deficient number, since it is larger than the sum of its proper divisors (45581495995695).

52515221305425 is a wasteful number, since it uses less digits than its factorization.

52515221305425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29696163 (or 29696158 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 52515221305425 in words is "fifty-two trillion, five hundred fifteen billion, two hundred twenty-one million, three hundred five thousand, four hundred twenty-five".

Divisors: 1 3 5 15 17 19 25 51 57 73 75 85 95 219 255 285 323 365 425 475 969 1095 1241 1275 1387 1425 1615 1825 3723 4161 4845 5475 6205 6935 8075 18615 20805 23579 24225 31025 34675 70737 93075 104025 117895 353685 589475 1768425 29696041 89088123 148480205 445440615 504832697 564224779 742401025 1514498091 1692674337 2167810993 2227203075 2524163485 2821123895 6503432979 7572490455 8463371685 9591821243 10839054965 12620817425 14105619475 28775463729 32517164895 36852786881 37862452275 41188408867 42316858425 47959106215 54195274825 110558360643 123565226601 143877318645 162585824475 184263934405 205942044335 239795531075 552791803215 617826133005 700202950739 719386593225 921319672025 1029710221675 2100608852217 2763959016075 3089130665025 3501014753695 10503044261085 17505073768475 52515221305425