1003201000 has 32 divisors (see below), whose sum is σ = 2347492680. Its totient is φ = 401280000.

The previous prime is 1003200971. The next prime is 1003201037. The reversal of 1003201000 is 1023001.

It can be written as a sum of positive squares in 4 ways, for example, as 454798276 + 548402724 = 21326^2 + 23418^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 500601 + ... + 502600.

Almost surely, 2^1003201000 is an apocalyptic number.

1003201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003201000 is an abundant number, since it is smaller than the sum of its proper divisors (1344291680).

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

1003201000 is a wasteful number, since it uses less digits than its factorization.

1003201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003222 (or 1003208 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1003201000 is about 31673.3484178733. The cubic root of 1003201000 is about 1001.0658635313.

Adding to 1003201000 its reverse (1023001), we get a palindrome (1004224001).

The spelling of 1003201000 in words is "one billion, three million, two hundred one thousand".