126588641 has 2 divisors, whose sum is σ = 126588642. Its totient is φ = 126588640.

The previous prime is 126588569. The next prime is 126588677. The reversal of 126588641 is 146885621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118178641 + 8410000 = 10871^2 + 2900^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126588641 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (126588041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63294320 + 63294321.

It is an arithmetic number, because the mean of its divisors is an integer number (63294321).

Almost surely, 2^126588641 is an apocalyptic number.

It is an amenable number.

126588641 is a deficient number, since it is larger than the sum of its proper divisors (1).

126588641 is an equidigital number, since it uses as much as digits as its factorization.

126588641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 92160, while the sum is 41.

The square root of 126588641 is about 11251.1617622359. The cubic root of 126588641 is about 502.1092773854.

The spelling of 126588641 in words is "one hundred twenty-six million, five hundred eighty-eight thousand, six hundred forty-one".