1115517663 has 40 divisors (see below), whose sum is σ = 1811224800. Its totient is φ = 680104512.

The previous prime is 1115517649. The next prime is 1115517677. The reversal of 1115517663 is 3667155111.

It is an interprime number because it is at equal distance from previous prime (1115517649) and next prime (1115517677).

It is not a de Polignac number, because 1115517663 - 2⁴ = 1115517647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115517163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109918 + ... + 119636.

It is an arithmetic number, because the mean of its divisors is an integer number (45280620).

Almost surely, 2^1115517663 is an apocalyptic number.

1115517663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1115517663 is a deficient number, since it is larger than the sum of its proper divisors (695707137).

1115517663 is a wasteful number, since it uses less digits than its factorization.

1115517663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9853 (or 9844 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 1115517663 is about 33399.3662065615. The cubic root of 1115517663 is about 1037.1115806964. Note that the first 3 decimals are identical.

The spelling of 1115517663 in words is "one billion, one hundred fifteen million, five hundred seventeen thousand, six hundred sixty-three".