126263601 has 12 divisors (see below), whose sum is σ = 183996228. Its totient is φ = 83430144.

The previous prime is 126263521. The next prime is 126263653. The reversal of 126263601 is 106362621.

126263601 is a `hidden beast` number, since 1 + 2 + 626 + 36 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7017201 + 119246400 = 2649^2 + 10920^2 .

It is not a de Polignac number, because 126263601 - 2⁹ = 126263089 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126263681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61060 + ... + 63093.

It is an arithmetic number, because the mean of its divisors is an integer number (15333019).

Almost surely, 2^126263601 is an apocalyptic number.

It is an amenable number.

126263601 is a deficient number, since it is larger than the sum of its proper divisors (57732627).

126263601 is a wasteful number, since it uses less digits than its factorization.

126263601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124272 (or 124269 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 126263601 is about 11236.7077473787. The cubic root of 126263601 is about 501.6791558917.

The spelling of 126263601 in words is "one hundred twenty-six million, two hundred sixty-three thousand, six hundred one".