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13152825 = 3252721193
BaseRepresentation
bin110010001011…
…001000111001
3220202020021200
4302023020321
511331342300
61145524413
7216540300
oct62131071
926666250
1013152825
117473a04
1244a3709
13295694a
141a65437
15124c200
hexc8b239

13152825 has 54 divisors (see below), whose sum is σ = 27427374. Its totient is φ = 6007680.

The previous prime is 13152817. The next prime is 13152847. The reversal of 13152825 is 52825131.

It is a happy number.

13152825 is a `hidden beast` number, since 131 + 528 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 853776 + 12299049 = 924^2 + 3507^2 .

It is not a de Polignac number, because 13152825 - 23 = 13152817 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 10429 + ... + 11621.

Almost surely, 213152825 is an apocalyptic number.

13152825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13152825 is an abundant number, since it is smaller than the sum of its proper divisors (14274549).

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

13152825 is a wasteful number, since it uses less digits than its factorization.

13152825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1208 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 13152825 is about 3626.6823682258. The cubic root of 13152825 is about 236.0512732128.

Adding to 13152825 its reverse (52825131), we get a palindrome (65977956).

The spelling of 13152825 in words is "thirteen million, one hundred fifty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1193 1225 1575 2205 3579 3675 5965 8351 10737 11025 17895 25053 29825 41755 53685 58457 75159 89475 125265 175371 208775 268425 292285 375795 526113 626325 876855 1461425 1878975 2630565 4384275 13152825