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12505313 is a prime number
BaseRepresentation
bin101111101101…
…000011100001
3212112100001202
4233231003201
511200132223
61124010545
7211202432
oct57550341
925470052
1012505313
117071477
124230a55
13278acc2
141937489
151170428
hexbed0e1

12505313 has 2 divisors, whose sum is σ = 12505314. Its totient is φ = 12505312.

The previous prime is 12505291. The next prime is 12505327. The reversal of 12505313 is 31350521.

12505313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6315169 + 6190144 = 2513^2 + 2488^2 .

It is an emirp because it is prime and its reverse (31350521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12505313 - 28 = 12505057 is a prime.

It is not a weakly prime, because it can be changed into another prime (12505373) 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 as a sum of consecutive naturals, namely, 6252656 + 6252657.

It is an arithmetic number, because the mean of its divisors is an integer number (6252657).

Almost surely, 212505313 is an apocalyptic number.

It is an amenable number.

12505313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12505313 is an equidigital number, since it uses as much as digits as its factorization.

12505313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 12505313 is about 3536.2851977746. The cubic root of 12505313 is about 232.1123180385.

Adding to 12505313 its reverse (31350521), we get a palindrome (43855834).

The spelling of 12505313 in words is "twelve million, five hundred five thousand, three hundred thirteen".