126505041 has 16 divisors (see below), whose sum is σ = 192334464. Its totient is φ = 73269504.

The previous prime is 126505019. The next prime is 126505061. The reversal of 126505041 is 140505621.

It is not a de Polignac number, because 126505041 - 2⁵ = 126505009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126505061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94741 + ... + 96066.

It is an arithmetic number, because the mean of its divisors is an integer number (12020904).

Almost surely, 2^126505041 is an apocalyptic number.

It is an amenable number.

126505041 is a deficient number, since it is larger than the sum of its proper divisors (65829423).

126505041 is a wasteful number, since it uses less digits than its factorization.

126505041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190840.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 126505041 is about 11247.4459767540. The cubic root of 126505041 is about 501.9987209165.

The spelling of 126505041 in words is "one hundred twenty-six million, five hundred five thousand, forty-one".