1005563638 has 16 divisors (see below), whose sum is σ = 1588368240. Its totient is φ = 476128800.

The previous prime is 1005563633. The next prime is 1005563653. The reversal of 1005563638 is 8363655001.

It is a super-2 number, since 2×1005563638² = 2022316460135590088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005563597 and 1005563606.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149508 + ... + 156088.

It is an arithmetic number, because the mean of its divisors is an integer number (99273015).

Almost surely, 2^1005563638 is an apocalyptic number.

1005563638 is a deficient number, since it is larger than the sum of its proper divisors (582804602).

1005563638 is a wasteful number, since it uses less digits than its factorization.

1005563638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10623.

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 1005563638 is about 31710.6234249660. The cubic root of 1005563638 is about 1001.8511172506.

The spelling of 1005563638 in words is "one billion, five million, five hundred sixty-three thousand, six hundred thirty-eight".