1005555000 has 160 divisors (see below), whose sum is σ = 3216470400. Its totient is φ = 261744000.

The previous prime is 1005554983. The next prime is 1005555007. The reversal of 1005555000 is 5555001.

It is a super-2 number, since 2×1005555000² = 2022281716050000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005555007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 644221 + ... + 645779.

It is an arithmetic number, because the mean of its divisors is an integer number (20102940).

Almost surely, 2^1005555000 is an apocalyptic number.

1005555000 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 1005555000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608235200).

1005555000 is an abundant number, since it is smaller than the sum of its proper divisors (2210915400).

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

1005555000 is a wasteful number, since it uses less digits than its factorization.

1005555000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 21.

The square root of 1005555000 is about 31710.4872242607. The cubic root of 1005555000 is about 1001.8482485395.

Subtracting from 1005555000 its reverse (5555001), we obtain a palindrome (999999999).

The spelling of 1005555000 in words is "one billion, five million, five hundred fifty-five thousand".