1002563103645 has 96 divisors (see below), whose sum is σ = 1846175760000. Its totient is φ = 502428068352.

The previous prime is 1002563103631. The next prime is 1002563103667. The reversal of 1002563103645 is 5463013652001.

1002563103645 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 5 + 6 + 3 + 1 + 0 + 3 + 645 = 666.

It is not a de Polignac number, because 1002563103645 - 2⁴ = 1002563103629 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15511606 + ... + 15576104.

It is an arithmetic number, because the mean of its divisors is an integer number (19230997500).

Almost surely, 2^{1002563103645} is an apocalyptic number.

1002563103645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002563103645 is a deficient number, since it is larger than the sum of its proper divisors (843612656355).

1002563103645 is a wasteful number, since it uses less digits than its factorization.

1002563103645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64859 (or 64856 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 1002563103645 its reverse (5463013652001), we get a palindrome (6465576755646).

The spelling of 1002563103645 in words is "one trillion, two billion, five hundred sixty-three million, one hundred three thousand, six hundred forty-five".