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17130883225 = 52261772
BaseRepresentation
bin11111111010001010…
…01000100010011001
31122012212210000221111
433331011020202121
5240041001230400
611511514140321
71144343050651
oct177505104231
948185700844
1017130883225
1172a0a34135
1233a11216a1
13180015abc1
14b8722d361
156a3e2c3ba
hex3fd148899

17130883225 has 9 divisors (see below), whose sum is σ = 21243106717. Its totient is φ = 13704183040.

The previous prime is 17130883199. The next prime is 17130883241. The reversal of 17130883225 is 52238803171.

It is a happy number.

The square root of 17130883225 is 130885.

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

17130883225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3179493769 + 13951389456 = 56387^2 + 118116^2 .

It is not a de Polignac number, because 17130883225 - 25 = 17130883193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 641337 + ... + 667513.

Almost surely, 217130883225 is an apocalyptic number.

17130883225 is the 130885-th square number.

17130883225 is the 65443-rd centered octagonal number.

It is an amenable number.

17130883225 is a deficient number, since it is larger than the sum of its proper divisors (4112223492).

17130883225 is an frugal number, since it uses more digits than its factorization.

17130883225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52364 (or 26182 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 17130883225 in words is "seventeen billion, one hundred thirty million, eight hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 26177 130885 654425 685235329 3426176645 17130883225