126456601 has 2 divisors, whose sum is σ = 126456602. Its totient is φ = 126456600.

The previous prime is 126456581. The next prime is 126456607. The reversal of 126456601 is 106654621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95942025 + 30514576 = 9795^2 + 5524^2 .

It is an emirp because it is prime and its reverse (106654621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126456601 - 2¹³ = 126448409 is a prime.

It is not a weakly prime, because it can be changed into another prime (126456607) 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, 63228300 + 63228301.

It is an arithmetic number, because the mean of its divisors is an integer number (63228301).

Almost surely, 2^126456601 is an apocalyptic number.

It is an amenable number.

126456601 is a deficient number, since it is larger than the sum of its proper divisors (1).

126456601 is an equidigital number, since it uses as much as digits as its factorization.

126456601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 126456601 is about 11245.2923928193. The cubic root of 126456601 is about 501.9346393531.

The spelling of 126456601 in words is "one hundred twenty-six million, four hundred fifty-six thousand, six hundred one".