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12957509 is a prime number
BaseRepresentation
bin110001011011…
…011101000101
3220101022100202
4301123131011
511304120014
61141420245
7215064665
oct61333505
926338322
1012957509
117350194
12440a685
1328b8a86
141a141a5
15120e3de
hexc5b745

12957509 has 2 divisors, whose sum is σ = 12957510. Its totient is φ = 12957508.

The previous prime is 12957481. The next prime is 12957541. The reversal of 12957509 is 90575921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11628100 + 1329409 = 3410^2 + 1153^2 .

It is a cyclic number.

It is not a de Polignac number, because 12957509 - 28 = 12957253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12957209) 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, 6478754 + 6478755.

It is an arithmetic number, because the mean of its divisors is an integer number (6478755).

Almost surely, 212957509 is an apocalyptic number.

It is an amenable number.

12957509 is a deficient number, since it is larger than the sum of its proper divisors (1).

12957509 is an equidigital number, since it uses as much as digits as its factorization.

12957509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28350, while the sum is 38.

The square root of 12957509 is about 3599.6540111516. The cubic root of 12957509 is about 234.8770082230.

The spelling of 12957509 in words is "twelve million, nine hundred fifty-seven thousand, five hundred nine".