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12405525 = 3521121367
BaseRepresentation
bin101111010100…
…101100010101
3212100021011220
4233110230111
511133434100
61121520553
7210305466
oct57245425
925307156
1012405525
117003500
1241a3159
132754762
14190cd6d
151150aa0
hexbd4b15

12405525 has 36 divisors (see below), whose sum is σ = 22561056. Its totient is φ = 6010400.

The previous prime is 12405521. The next prime is 12405539. The reversal of 12405525 is 52550421.

12405525 = 602 + 612 + ... + 3342.

It is a happy number.

12405525 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12405525 - 22 = 12405521 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12405495 and 12405504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12405521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8392 + ... + 9758.

It is an arithmetic number, because the mean of its divisors is an integer number (626696).

Almost surely, 212405525 is an apocalyptic number.

12405525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12405525 is a deficient number, since it is larger than the sum of its proper divisors (10155531).

12405525 is a wasteful number, since it uses less digits than its factorization.

12405525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 12405525 is about 3522.1477822488. The cubic root of 12405525 is about 231.4932769733.

Adding to 12405525 its reverse (52550421), we get a palindrome (64955946).

Subtracting 12405525 from its reverse (52550421), we obtain a square (40144896 = 63362).

The spelling of 12405525 in words is "twelve million, four hundred five thousand, five hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 121 165 275 363 605 825 1367 1815 3025 4101 6835 9075 15037 20505 34175 45111 75185 102525 165407 225555 375925 496221 827035 1127775 2481105 4135175 12405525