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12957253 is a prime number
BaseRepresentation
bin110001011011…
…011001000101
3220101022000021
4301123121011
511304113003
61141415141
7215064151
oct61333105
926338007
1012957253
11734aa81
12440a4b1
1328b891a
141a14061
15120e2bd
hexc5b645

12957253 has 2 divisors, whose sum is σ = 12957254. Its totient is φ = 12957252.

The previous prime is 12957251. The next prime is 12957293. The reversal of 12957253 is 35275921.

12957253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11512449 + 1444804 = 3393^2 + 1202^2 .

It is a cyclic number.

It is not a de Polignac number, because 12957253 - 21 = 12957251 is a prime.

Together with 12957251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12957251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6478626 + 6478627.

It is an arithmetic number, because the mean of its divisors is an integer number (6478627).

Almost surely, 212957253 is an apocalyptic number.

It is an amenable number.

12957253 is a deficient number, since it is larger than the sum of its proper divisors (1).

12957253 is an equidigital number, since it uses as much as digits as its factorization.

12957253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18900, while the sum is 34.

The square root of 12957253 is about 3599.6184520029. The cubic root of 12957253 is about 234.8754614002.

The spelling of 12957253 in words is "twelve million, nine hundred fifty-seven thousand, two hundred fifty-three".