12565132049 has 2 divisors, whose sum is σ = 12565132050. Its totient is φ = 12565132048.

The previous prime is 12565131979. The next prime is 12565132103. The reversal of 12565132049 is 94023156521.

12565132049 is digitally balanced in base 2, 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., 12556323025 + 8809024 = 112055^2 + 2968^2 .

It is a cyclic number.

It is not a de Polignac number, because 12565132049 - 2¹⁶ = 12565066513 is a prime.

It is not a weakly prime, because it can be changed into another prime (12565132249) by changing a digit.

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 as a sum of consecutive naturals, namely, 6282566024 + 6282566025.

It is an arithmetic number, because the mean of its divisors is an integer number (6282566025).

Almost surely, 2^12565132049 is an apocalyptic number.

It is an amenable number.

12565132049 is a deficient number, since it is larger than the sum of its proper divisors (1).

12565132049 is an equidigital number, since it uses as much as digits as its factorization.

12565132049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 12565132049 in words is "twelve billion, five hundred sixty-five million, one hundred thirty-two thousand, forty-nine".