1006505632 has 24 divisors (see below), whose sum is σ = 2161700352. Its totient is φ = 457502400.

The previous prime is 1006505629. The next prime is 1006505641. The reversal of 1006505632 is 2365056001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006505632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1429344 + ... + 1430047.

It is an arithmetic number, because the mean of its divisors is an integer number (90070848).

Almost surely, 2^1006505632 is an apocalyptic number.

It is an amenable number.

1006505632 is an abundant number, since it is smaller than the sum of its proper divisors (1155194720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006505632 is a wasteful number, since it uses less digits than its factorization.

1006505632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859412 (or 2859404 counting only the distinct ones).

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

The square root of 1006505632 is about 31725.4729200370. The cubic root of 1006505632 is about 1002.1638583398.

The spelling of 1006505632 in words is "one billion, six million, five hundred five thousand, six hundred thirty-two".