126264001 has 2 divisors, whose sum is σ = 126264002. Its totient is φ = 126264000.

The previous prime is 126263989. The next prime is 126264011. The reversal of 126264001 is 100462621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125417601 + 846400 = 11199^2 + 920^2 .

It is a cyclic number.

It is not a de Polignac number, because 126264001 - 2¹⁵ = 126231233 is a prime.

It is not a weakly prime, because it can be changed into another prime (126264011) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63132000 + 63132001.

It is an arithmetic number, because the mean of its divisors is an integer number (63132001).

Almost surely, 2^126264001 is an apocalyptic number.

It is an amenable number.

126264001 is a deficient number, since it is larger than the sum of its proper divisors (1).

126264001 is an equidigital number, since it uses as much as digits as its factorization.

126264001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 126264001 is about 11236.7255461722. The cubic root of 126264001 is about 501.6796856602.

The spelling of 126264001 in words is "one hundred twenty-six million, two hundred sixty-four thousand, one".