126288961 has 2 divisors, whose sum is σ = 126288962. Its totient is φ = 126288960.

The previous prime is 126288931. The next prime is 126288989. The reversal of 126288961 is 169882621.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82464561 + 43824400 = 9081^2 + 6620^2 .

It is a cyclic number.

It is not a de Polignac number, because 126288961 - 2¹⁹ = 125764673 is a prime.

It is not a weakly prime, because it can be changed into another prime (126288901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63144480 + 63144481.

It is an arithmetic number, because the mean of its divisors is an integer number (63144481).

Almost surely, 2^126288961 is an apocalyptic number.

It is an amenable number.

126288961 is a deficient number, since it is larger than the sum of its proper divisors (1).

126288961 is an equidigital number, since it uses as much as digits as its factorization.

126288961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 82944, while the sum is 43.

The square root of 126288961 is about 11237.8361351285. The cubic root of 126288961 is about 501.7127410041.

The spelling of 126288961 in words is "one hundred twenty-six million, two hundred eighty-eight thousand, nine hundred sixty-one".