126526401 has 8 divisors (see below), whose sum is σ = 187446560. Its totient is φ = 84350916.

The previous prime is 126526399. The next prime is 126526403. The reversal of 126526401 is 104625621.

126526401 is a `hidden beast` number, since 1 + 2 + 652 + 6 + 4 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (126526399) and next prime (126526403).

It is not a de Polignac number, because 126526401 - 2¹ = 126526399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4686163 = 126526401 / (1 + 2 + 6 + 5 + 2 + 6 + 4 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126526403) 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 in 7 ways as a sum of consecutive naturals, for example, 2343055 + ... + 2343108.

It is an arithmetic number, because the mean of its divisors is an integer number (23430820).

Almost surely, 2^126526401 is an apocalyptic number.

It is an amenable number.

126526401 is a deficient number, since it is larger than the sum of its proper divisors (60920159).

126526401 is an equidigital number, since it uses as much as digits as its factorization.

126526401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686172 (or 4686166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 126526401 is about 11248.3954855793. The cubic root of 126526401 is about 502.0269729902.

The spelling of 126526401 in words is "one hundred twenty-six million, five hundred twenty-six thousand, four hundred one".