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6539148225 = 36525992
BaseRepresentation
bin1100001011100001…
…10111101111000001
3121212201120011000000
412011300313233001
5101343010220400
63000512350213
7321021562041
oct60560675701
917781504000
106539148225
1128561a6935
121325b45369
138029a9a9c
14460675721
15284135600
hex185c37bc1

6539148225 has 63 divisors (see below), whose sum is σ = 12177584083. Its totient is φ = 3481723440.

The previous prime is 6539148223. The next prime is 6539148227. The reversal of 6539148225 is 5228419356.

The square root of 6539148225 is 80865.

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

6539148225 is a `hidden beast` number, since 6 + 539 + 14 + 82 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (6539148223) and next prime (6539148227).

It can be written as a sum of positive squares in only one way, i.e., 2354093361 + 4185054864 = 48519^2 + 64692^2 .

It is not a de Polignac number, because 6539148225 - 21 = 6539148223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6539148223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 10916476 + ... + 10917074.

Almost surely, 26539148225 is an apocalyptic number.

6539148225 is the 80865-th square number.

6539148225 is the 40433-rd centered octagonal number.

It is an amenable number.

6539148225 is a deficient number, since it is larger than the sum of its proper divisors (5638435858).

6539148225 is an frugal number, since it uses more digits than its factorization.

6539148225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 607 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The cubic root of 6539148225 is about 1869.9947786942.

The spelling of 6539148225 in words is "six billion, five hundred thirty-nine million, one hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 599 675 729 1215 1797 2025 2995 3645 5391 6075 8985 14975 16173 18225 26955 44925 48519 80865 134775 145557 242595 358801 404325 436671 727785 1076403 1212975 1794005 2183355 3229209 3638925 5382015 8970025 9687627 10916775 16146045 26910075 29062881 48438135 80730225 87188643 145314405 242190675 261565929 435943215 726572025 1307829645 2179716075 6539148225