1005563632 has 20 divisors (see below), whose sum is σ = 2015462520. Its totient is φ = 485444288.

The previous prime is 1005563627. The next prime is 1005563633. The reversal of 1005563632 is 2363655001.

It is a super-2 number, since 2×1005563632² = 2022316436002062848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005563594 and 1005563603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005563633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1083118 + ... + 1084045.

It is an arithmetic number, because the mean of its divisors is an integer number (100773126).

Almost surely, 2^1005563632 is an apocalyptic number.

It is an amenable number.

1005563632 is an abundant number, since it is smaller than the sum of its proper divisors (1009898888).

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

1005563632 is a wasteful number, since it uses less digits than its factorization.

1005563632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167200 (or 2167194 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 1005563632 is about 31710.6233303604. The cubic root of 1005563632 is about 1001.8511152579.

The spelling of 1005563632 in words is "one billion, five million, five hundred sixty-three thousand, six hundred thirty-two".