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52351355315325 = 35211233497905343
BaseRepresentation
bin10111110011100111111111…
…11011111110010001111101
320212100201222222000110120210
423321303333323332101331
523330211033430042300
6303201514114103033
714012155250011113
oct1371637773762175
9225321888013523
1052351355315325
11157540a3307730
125a56062b7aa79
13232993358a4a1
14ccdb67929ab3
1560bba3b5b050
hex2f9cffefe47d

52351355315325 has 96 divisors (see below), whose sum is σ = 98810475724800. Its totient is φ = 24209319340800.

The previous prime is 52351355315293. The next prime is 52351355315359.

52351355315325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52351355315325 - 25 = 52351355315293 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2669604 + ... + 10574946.

It is an arithmetic number, because the mean of its divisors is an integer number (1029275788800).

Almost surely, 252351355315325 is an apocalyptic number.

52351355315325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52351355315325 is a deficient number, since it is larger than the sum of its proper divisors (46459120409475).

52351355315325 is a wasteful number, since it uses less digits than its factorization.

52351355315325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905739 (or 7905734 counting only the distinct ones).

The product of its digits is 5062500, while the sum is 48.

The spelling of 52351355315325 in words is "fifty-two trillion, three hundred fifty-one billion, three hundred fifty-five million, three hundred fifteen thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 23 25 33 55 69 75 115 165 253 275 345 349 575 759 825 1047 1265 1725 1745 3795 3839 5235 6325 8027 8725 11517 18975 19195 24081 26175 40135 57585 88297 95975 120405 200675 264891 287925 441485 602025 1324455 2207425 6622275 7905343 23716029 39526715 86958773 118580145 181822889 197633575 260876319 434793865 545468667 592900725 909114445 1304381595 2000051779 2173969325 2727343335 2758964707 4545572225 6000155337 6521907975 8276894121 10000258895 13636716675 13794823535 30000776685 30348611777 41384470605 50001294475 63456188261 68974117675 91045835331 150003883425 151743058885 190368564783 206922353025 317280941305 455229176655 698018070871 758715294425 951842823915 1586404706525 2094054212613 2276145883275 3490090354355 4759214119575 10470271063065 17450451771775 52351355315325