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65032650225 = 365218892
BaseRepresentation
bin111100100100001111…
…110111110111110001
320012212020101221000000
4330210033313313301
52031141324301400
645513043220213
74461366256224
oct744417676761
9205766357000
1065032650225
1125642265724
121072b377669
1361952ab12a
14320d0135bb
151a594a8600
hexf243f7df1

65032650225 has 63 divisors (see below), whose sum is σ = 120969459313. Its totient is φ = 34665719040.

The previous prime is 65032650211. The next prime is 65032650247. The reversal of 65032650225 is 52205623056.

The square root of 65032650225 is 255015.

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

65032650225 is a `hidden beast` number, since 65 + 0 + 326 + 50 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1655594721 + 63377055504 = 40689^2 + 251748^2 .

It is not a de Polignac number, because 65032650225 - 213 = 65032642033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 65032650225.

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 62 ways as a sum of consecutive naturals, for example, 34426081 + ... + 34427969.

Almost surely, 265032650225 is an apocalyptic number.

65032650225 is the 255015-th square number.

65032650225 is the 127508-th centered octagonal number.

It is an amenable number.

65032650225 is a deficient number, since it is larger than the sum of its proper divisors (55936809088).

65032650225 is an frugal number, since it uses more digits than its factorization.

65032650225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Multiplying 65032650225 by its sum of digits (36), we get a square (2341175408100 = 15300902).

The spelling of 65032650225 in words is "sixty-five billion, thirty-two million, six hundred fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 1889 2025 3645 5667 6075 9445 17001 18225 28335 47225 51003 85005 141675 153009 255015 425025 459027 765045 1275075 1377081 2295135 3568321 3825225 6885405 10704963 11475675 17841605 32114889 34427025 53524815 89208025 96344667 160574445 267624075 289034001 481723335 802872225 867102003 1445170005 2408616675 2601306009 4335510015 7225850025 13006530045 21677550075 65032650225