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52287682225 = 52192292832
BaseRepresentation
bin110000101100100101…
…101011011010110001
311222222000111110200011
4300230211223122301
51324041121312400
640004242254521
73530510652142
oct605445533261
9158860443604
1052287682225
11201a2040619
12a173057441
134c139c134c
1427604b3ac9
1515606318ba
hexc2c96b6b1

52287682225 has 81 divisors (see below), whose sum is σ = 71733907713. Its totient is φ = 37801068480.

The previous prime is 52287682171. The next prime is 52287682253. The reversal of 52287682225 is 52228678225.

The square root of 52287682225 is 228665.

It is a perfect power (a square), and thus also a powerful number.

52287682225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 718722481 + 51568959744 = 26809^2 + 227088^2 .

It is not a de Polignac number, because 52287682225 - 229 = 51750811313 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 629972034 + ... + 629972116.

Almost surely, 252287682225 is an apocalyptic number.

52287682225 is the 228665-th square number.

52287682225 is the 114333-rd centered octagonal number.

It is an amenable number.

52287682225 is a deficient number, since it is larger than the sum of its proper divisors (19446225488).

52287682225 is an equidigital number, since it uses as much as digits as its factorization.

52287682225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 49.

Multiplying 52287682225 by its sum of digits (49), we get a square (2562096429025 = 16006552).

The spelling of 52287682225 in words is "fifty-two billion, two hundred eighty-seven million, six hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 5 19 25 29 83 95 145 361 415 475 551 725 841 1577 1805 2075 2407 2755 4205 6889 7885 9025 10469 12035 13775 15979 21025 29963 34445 39425 45733 52345 60175 69803 79895 130891 149815 172225 199781 228665 261725 303601 349015 399475 654455 749075 868927 998905 1143325 1326257 1518005 1745075 2486929 3272275 3795839 4344635 4994525 5793649 6631285 7590025 12434645 18979195 21723175 25198883 28968245 33156425 62173225 72120941 94895975 110079331 125994415 144841225 360604705 550396655 629972075 1803023525 2091507289 2751983275 10457536445 52287682225