1000001000 has 64 divisors (see below), whose sum is σ = 2363409360. Its totient is φ = 396000000.

The previous prime is 1000000993. The next prime is 1000001011. The reversal of 1000001000 is 1000001.

It can be written as a sum of positive squares in 8 ways, for example, as 479522404 + 520478596 = 21898^2 + 22814^2 .

It is a sliding number, since 1000001000 = 1000 + 1000000000 and 1/1000 + 1/1000000000 = 0.001000001000.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96050 + ... + 105950.

Almost surely, 2^1000001000 is an apocalyptic number.

1000001000 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 1000001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181704680).

1000001000 is an abundant number, since it is smaller than the sum of its proper divisors (1363408360).

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

1000001000 is a wasteful number, since it uses less digits than its factorization.

1000001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10023 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 1000001000 is about 31622.7924130681. The cubic root of 1000001000 is about 1000.0003333332. Note that the first 3 decimals are identical.

Adding to 1000001000 its reverse (1000001), we get a palindrome (1001001001).

Subtracting from 1000001000 its reverse (1000001), we obtain a palindrome (999000999).

1000001000 divided by its reverse (1000001) gives a cube (1000 = 10³).

The spelling of 1000001000 in words is "one billion, one thousand".