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330527257225 = 52112104532
BaseRepresentation
bin1001100111101001111…
…01011011001010001001
31011121011000100101001121
410303310331123022021
520403404434212400
6411501522115241
732610526221304
oct4636475331211
91147130311047
10330527257225
111181a3024500
1254084aabb21
1325226500519
1411dd75d9b3b
1588e773721a
hex4cf4f5b289

330527257225 has 27 divisors (see below), whose sum is σ = 450543558549. Its totient is φ = 240360463200.

The previous prime is 330527257217. The next prime is 330527257289. The reversal of 330527257225 is 522752725033.

The square root of 330527257225 is 574915.

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

It can be written as a sum of positive squares in 4 ways, for example, as 77775727689 + 252751529536 = 278883^2 + 502744^2 .

It is not a de Polignac number, because 330527257225 - 23 = 330527257217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31615099 + ... + 31625551.

Almost surely, 2330527257225 is an apocalyptic number.

330527257225 is the 574915-th square number.

330527257225 is the 287458-th centered octagonal number.

It is an amenable number.

330527257225 is a deficient number, since it is larger than the sum of its proper divisors (120016301324).

330527257225 is an frugal number, since it uses more digits than its factorization.

330527257225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20938 (or 10469 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 43.

The spelling of 330527257225 in words is "three hundred thirty billion, five hundred twenty-seven million, two hundred fifty-seven thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 10453 52265 114983 261325 574915 1264813 2874575 6324065 31620325 109265209 546326045 1201917299 2731630225 6009586495 13221090289 30047932475 66105451445 330527257225