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12825225 = 3252717479
BaseRepresentation
bin110000111011…
…001010001001
3220010120220100
4300323022021
511240401400
61134520013
7214004220
oct60731211
926116810
1012825225
11726a866
124366009
1328707ba
1419bbcb7
1511d5100
hexc3b289

12825225 has 72 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 5506560.

The previous prime is 12825217. The next prime is 12825229. The reversal of 12825225 is 52252821.

It is not a de Polignac number, because 12825225 - 23 = 12825217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12825229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26536 + ... + 27014.

It is an arithmetic number, because the mean of its divisors is an integer number (386880).

Almost surely, 212825225 is an apocalyptic number.

12825225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12825225 is an abundant number, since it is smaller than the sum of its proper divisors (15030135).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12825225 is a wasteful number, since it uses less digits than its factorization.

12825225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 12825225 is about 3581.2323297993. The cubic root of 12825225 is about 234.0749814497.

The spelling of 12825225 in words is "twelve million, eight hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 255 315 357 425 479 525 595 765 1071 1275 1437 1575 1785 2395 2975 3353 3825 4311 5355 7185 8143 8925 10059 11975 16765 21555 24429 26775 30177 35925 40715 50295 57001 73287 83825 107775 122145 150885 171003 203575 251475 285005 366435 513009 610725 754425 855015 1425025 1832175 2565045 4275075 12825225