1005663300 has 72 divisors (see below), whose sum is σ = 2953206816. Its totient is φ = 264168960.

The previous prime is 1005663299. The next prime is 1005663301. The reversal of 1005663300 is 33665001.

1005663300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1005663299) and next prime (1005663301).

It is a super-2 number, since 2×1005663300² = 2022717345933780000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005663301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4917 + ... + 45116.

Almost surely, 2^1005663300 is an apocalyptic number.

1005663300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005663300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476603408).

1005663300 is an abundant number, since it is smaller than the sum of its proper divisors (1947543516).

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

1005663300 is a wasteful number, since it uses less digits than its factorization.

1005663300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50117 (or 50110 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 1005663300 is about 31712.1948152442. The cubic root of 1005663300 is about 1001.8842141738.

The spelling of 1005663300 in words is "one billion, five million, six hundred sixty-three thousand, three hundred".