1632005505 has 48 divisors (see below), whose sum is σ = 3063440016. Its totient is φ = 798958080.

The previous prime is 1632005489. The next prime is 1632005579. The reversal of 1632005505 is 5055002361.

It can be written as a sum of positive squares in 8 ways, for example, as 247495824 + 1384509681 = 15732^2 + 37209^2 .

It is not a de Polignac number, because 1632005505 - 2⁴ = 1632005489 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 98179 + ... + 113591.

It is an arithmetic number, because the mean of its divisors is an integer number (63821667).

Almost surely, 2^1632005505 is an apocalyptic number.

1632005505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1632005505 is a deficient number, since it is larger than the sum of its proper divisors (1431434511).

1632005505 is a wasteful number, since it uses less digits than its factorization.

1632005505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15618 (or 15615 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1632005505 is about 40398.0878879187. The cubic root of 1632005505 is about 1177.3543871760.

Adding to 1632005505 its reverse (5055002361), we get a palindrome (6687007866).

The spelling of 1632005505 in words is "one billion, six hundred thirty-two million, five thousand, five hundred five".