1000002563 has 16 divisors (see below), whose sum is σ = 1185178560. Its totient is φ = 825552000.

The previous prime is 1000002499. The next prime is 1000002571. The reversal of 1000002563 is 3652000001.

1000002563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000002563 - 2⁶ = 1000002499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000052563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79613 + ... + 91313.

It is an arithmetic number, because the mean of its divisors is an integer number (74073660).

Almost surely, 2^1000002563 is an apocalyptic number.

1000002563 is a deficient number, since it is larger than the sum of its proper divisors (185175997).

1000002563 is a wasteful number, since it uses less digits than its factorization.

1000002563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12158.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1000002563 is about 31622.8171262460. The cubic root of 1000002563 is about 1000.0008543326. Note that the first 3 decimals are identical.

Adding to 1000002563 its reverse (3652000001), we get a palindrome (4652002564).

The spelling of 1000002563 in words is "one billion, two thousand, five hundred sixty-three".