1005066500 has 96 divisors (see below), whose sum is σ = 2305185792. Its totient is φ = 382320000.

The previous prime is 1005066493. The next prime is 1005066511. The reversal of 1005066500 is 56605001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944969 + ... + 946031.

It is an arithmetic number, because the mean of its divisors is an integer number (24012352).

Almost surely, 2^1005066500 is an apocalyptic number.

1005066500 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 1005066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152592896).

1005066500 is an abundant number, since it is smaller than the sum of its proper divisors (1300119292).

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

1005066500 is a wasteful number, since it uses less digits than its factorization.

1005066500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1005066500 is about 31702.7837894403. The cubic root of 1005066500 is about 1001.6859891763.

The spelling of 1005066500 in words is "one billion, five million, sixty-six thousand, five hundred".