1005320000 has 140 divisors (see below), whose sum is σ = 2557834356. Its totient is φ = 391680000.

The previous prime is 1005319979. The next prime is 1005320023. The reversal of 1005320000 is 235001.

It can be written as a sum of positive squares in 10 ways, for example, as 984453376 + 20866624 = 31376^2 + 4568^2 .

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1639694 + ... + 1640306.

Almost surely, 2^1005320000 is an apocalyptic number.

1005320000 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 1005320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278917178).

1005320000 is an abundant number, since it is smaller than the sum of its proper divisors (1552514356).

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

1005320000 is an frugal number, since it uses more digits than its factorization.

1005320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 1005320000 is about 31706.7816089871. The cubic root of 1005320000 is about 1001.7701978838.

Adding to 1005320000 its reverse (235001), we get a palindrome (1005555001).

The spelling of 1005320000 in words is "one billion, five million, three hundred twenty thousand".