126603505 has 48 divisors (see below), whose sum is σ = 189481680. Its totient is φ = 80683008.

The previous prime is 126603497. The next prime is 126603511. The reversal of 126603505 is 505306621.

It can be written as a sum of positive squares in 8 ways, for example, as 30426256 + 96177249 = 5516^2 + 9807^2 .

It is not a de Polignac number, because 126603505 - 2³ = 126603497 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470511 + ... + 470779.

It is an arithmetic number, because the mean of its divisors is an integer number (3947535).

Almost surely, 2^126603505 is an apocalyptic number.

It is an amenable number.

126603505 is a deficient number, since it is larger than the sum of its proper divisors (62878175).

126603505 is a wasteful number, since it uses less digits than its factorization.

126603505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 126603505 is about 11251.8222968549. The cubic root of 126603505 is about 502.1289291229.

The spelling of 126603505 in words is "one hundred twenty-six million, six hundred three thousand, five hundred five".