1005063201 has 32 divisors (see below), whose sum is σ = 1516339200. Its totient is φ = 657830160.

The previous prime is 1005063193. The next prime is 1005063233. The reversal of 1005063201 is 1023605001.

It is not a de Polignac number, because 1005063201 - 2³ = 1005063193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005063401) by changing a digit.

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, 406170 + ... + 408636.

It is an arithmetic number, because the mean of its divisors is an integer number (47385600).

Almost surely, 2^1005063201 is an apocalyptic number.

It is an amenable number.

1005063201 is a deficient number, since it is larger than the sum of its proper divisors (511275999).

1005063201 is a wasteful number, since it uses less digits than its factorization.

1005063201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1005063201 is about 31702.7317592664. The cubic root of 1005063201 is about 1001.6848932072.

Adding to 1005063201 its reverse (1023605001), we get a palindrome (2028668202).

The spelling of 1005063201 in words is "one billion, five million, sixty-three thousand, two hundred one".