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252541421325 = 34521773100493
BaseRepresentation
bin1110101100110010100…
…1000100011100001101
3220010212001020102210000
43223030221010130031
513114201100440300
6312003235034513
724150132443244
oct3531451043415
9803761212700
10252541421325
1198114059756
1240b3b73ba39
131aa78761aab
14c31a16595b
156880ec7c00
hex3acca4470d

252541421325 has 120 divisors (see below), whose sum is σ = 502101388008. Its totient is φ = 125028126720.

The previous prime is 252541421309. The next prime is 252541421333. The reversal of 252541421325 is 523124145252.

252541421325 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 414 + 213 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 282340809 + 252259080516 = 16803^2 + 502254^2 .

It is not a de Polignac number, because 252541421325 - 24 = 252541421309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252541421325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2462779 + ... + 2563271.

Almost surely, 2252541421325 is an apocalyptic number.

252541421325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252541421325 is a deficient number, since it is larger than the sum of its proper divisors (249559966683).

252541421325 is a wasteful number, since it uses less digits than its factorization.

252541421325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100605 (or 100591 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 252541421325 its reverse (523124145252), we get a palindrome (775665566577).

The spelling of 252541421325 in words is "two hundred fifty-two billion, five hundred forty-one million, four hundred twenty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 73 75 81 85 135 153 219 225 255 365 405 425 459 657 675 765 1095 1241 1275 1377 1825 1971 2025 2295 3285 3723 3825 5475 5913 6205 6885 9855 11169 11475 16425 18615 29565 31025 33507 34425 49275 55845 93075 100493 100521 147825 167535 279225 301479 502465 502605 837675 904437 1507395 1708381 2512325 2513025 2713311 4522185 5125143 7335989 7536975 8139933 8541905 13566555 15375429 22007967 22610925 25625715 36679945 40699665 42709525 46126287 66023901 67832775 76877145 110039835 124711813 128128575 138378861 183399725 198071703 203498325 230631435 330119505 374135439 384385725 550199175 594215109 623559065 691894305 990358515 1122406317 1153157175 1650597525 1870677195 2971075545 3117795325 3367218951 3459471525 4951792575 5612031585 9353385975 10101656853 14855377725 16836094755 28060157925 50508284265 84180473775 252541421325