1003663984125 has 64 divisors (see below), whose sum is σ = 1871165327616. Its totient is φ = 473472864000.

The previous prime is 1003663984117. The next prime is 1003663984133. The reversal of 1003663984125 is 5214893663001.

It is an interprime number because it is at equal distance from previous prime (1003663984117) and next prime (1003663984133).

It is not a de Polignac number, because 1003663984125 - 2³ = 1003663984117 is a prime.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3135382 + ... + 3440631.

It is an arithmetic number, because the mean of its divisors is an integer number (29236958244).

Almost surely, 2^{1003663984125} is an apocalyptic number.

1003663984125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1003663984125 is a deficient number, since it is larger than the sum of its proper divisors (867501343491).

1003663984125 is a wasteful number, since it uses less digits than its factorization.

1003663984125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576079 (or 6576069 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 1003663984125 in words is "one trillion, three billion, six hundred sixty-three million, nine hundred eighty-four thousand, one hundred twenty-five".