1005010000 has 50 divisors (see below), whose sum is σ = 2433253922. Its totient is φ = 402000000.

The previous prime is 1005009989. The next prime is 1005010003. The reversal of 1005010000 is 105001.

It can be written as a sum of positive squares in 5 ways, for example, as 581967376 + 423042624 = 24124^2 + 20568^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40251 + ... + 60250.

Almost surely, 2^1005010000 is an apocalyptic number.

1005010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005010000 is an abundant number, since it is smaller than the sum of its proper divisors (1428243922).

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

1005010000 is an equidigital number, since it uses as much as digits as its factorization.

1005010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100529 (or 100508 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 1005010000 is about 31701.8926879768. The cubic root of 1005010000 is about 1001.6672188366.

Adding to 1005010000 its reverse (105001), we get a palindrome (1005115001).

The spelling of 1005010000 in words is "one billion, five million, ten thousand".