1005546663 has 48 divisors (see below), whose sum is σ = 1644007680. Its totient is φ = 606980880.

The previous prime is 1005546643. The next prime is 1005546679. The reversal of 1005546663 is 3666455001.

It is not a de Polignac number, because 1005546663 - 2²⁰ = 1004498087 is a prime.

It is a super-2 number, since 2×1005546663² = 2022248182940871138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005546643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133206 + ... + 1134092.

It is an arithmetic number, because the mean of its divisors is an integer number (34250160).

Almost surely, 2^1005546663 is an apocalyptic number.

1005546663 is a deficient number, since it is larger than the sum of its proper divisors (638461017).

1005546663 is a wasteful number, since it uses less digits than its factorization.

1005546663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1005546663 is about 31710.3557690544. The cubic root of 1005546663 is about 1001.8454797760.

The spelling of 1005546663 in words is "one billion, five million, five hundred forty-six thousand, six hundred sixty-three".