12953261 has 2 divisors, whose sum is σ = 12953262. Its totient is φ = 12953260.

The previous prime is 12953249. The next prime is 12953263. The reversal of 12953261 is 16235921.

12953261 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., 12709225 + 244036 = 3565^2 + 494^2 .

It is a cyclic number.

It is not a de Polignac number, because 12953261 - 2¹⁴ = 12936877 is a prime.

It is a super-3 number, since 3×12953261³ (a number of 22 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 12953263, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12953263) 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, 6476630 + 6476631.

It is an arithmetic number, because the mean of its divisors is an integer number (6476631).

Almost surely, 2^12953261 is an apocalyptic number.

It is an amenable number.

12953261 is a deficient number, since it is larger than the sum of its proper divisors (1).

12953261 is an equidigital number, since it uses as much as digits as its factorization.

12953261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240, while the sum is 29.

The square root of 12953261 is about 3599.0639060734. The cubic root of 12953261 is about 234.8513379961.

The spelling of 12953261 in words is "twelve million, nine hundred fifty-three thousand, two hundred sixty-one".