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12511353225 = 3527195472293
BaseRepresentation
bin10111010011011110…
…00001100110001001
31012021221022121002210
423221233001212021
5201110401300400
65425253415333
7622020514320
oct135157014611
935257277083
1012511353225
115340372948
12251203a549
1312450933b7
148698cb0b7
154d35cc950
hex2e9bc1989

12511353225 has 96 divisors (see below), whose sum is σ = 24941102080. Its totient is φ = 5406186240.

The previous prime is 12511353221. The next prime is 12511353233. The reversal of 12511353225 is 52235311521.

12511353225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12511353225 - 22 = 12511353221 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12511353192 and 12511353201.

It is not an unprimeable number, because it can be changed into a prime (12511353221) 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 95 ways as a sum of consecutive naturals, for example, 5455179 + ... + 5457471.

Almost surely, 212511353225 is an apocalyptic number.

12511353225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12511353225 is a deficient number, since it is larger than the sum of its proper divisors (12429748855).

12511353225 is a wasteful number, since it uses less digits than its factorization.

12511353225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2874 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

Adding to 12511353225 its reverse (52235311521), we get a palindrome (64746664746).

The spelling of 12511353225 in words is "twelve billion, five hundred eleven million, three hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 25 35 57 75 95 105 133 175 285 399 475 525 547 665 1425 1641 1995 2293 2735 3325 3829 6879 8205 9975 10393 11465 11487 13675 16051 19145 31179 34395 41025 43567 48153 51965 57325 57435 72751 80255 95725 130701 155895 171975 217835 218253 240765 259825 287175 304969 363755 401275 653505 779475 914907 1089175 1091265 1203825 1254271 1524845 1818775 3267525 3762813 4574535 5456325 6271355 7624225 8779897 18814065 22872675 23831149 26339691 31356775 43899485 71493447 94070325 119155745 131698455 166818043 219497425 357467235 500454129 595778725 658492275 834090215 1787336175 2502270645 4170451075 12511353225