126006561 has 12 divisors (see below), whose sum is σ = 182185380. Its totient is φ = 83923200.

The previous prime is 126006557. The next prime is 126006607. The reversal of 126006561 is 165600621.

It is a happy number.

126006561 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 0 + 656 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26625600 + 99380961 = 5160^2 + 9969^2 .

It is not a de Polignac number, because 126006561 - 2² = 126006557 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 not an unprimeable number, because it can be changed into a prime (126006521) 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, 3961 + ... + 16361.

It is an arithmetic number, because the mean of its divisors is an integer number (15182115).

Almost surely, 2^126006561 is an apocalyptic number.

It is an amenable number.

126006561 is a deficient number, since it is larger than the sum of its proper divisors (56178819).

126006561 is a wasteful number, since it uses less digits than its factorization.

126006561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13536 (or 13533 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 126006561 is about 11225.2644066855. The cubic root of 126006561 is about 501.3384949983.

The spelling of 126006561 in words is "one hundred twenty-six million, six thousand, five hundred sixty-one".