1005506566615 has 16 divisors (see below), whose sum is σ = 1283639741280. Its totient is φ = 753499192320.

The previous prime is 1005506566613. The next prime is 1005506566619. The reversal of 1005506566615 is 5166656055001.

It is not a de Polignac number, because 1005506566615 - 2¹ = 1005506566613 is a prime.

It is a super-2 number, since 2×1005506566615² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005506566613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28014030 + ... + 28049899.

It is an arithmetic number, because the mean of its divisors is an integer number (80227483830).

Almost surely, 2^{1005506566615} is an apocalyptic number.

1005506566615 is a deficient number, since it is larger than the sum of its proper divisors (278133174665).

1005506566615 is a wasteful number, since it uses less digits than its factorization.

1005506566615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56064162.

The product of its (nonzero) digits is 810000, while the sum is 46.

The spelling of 1005506566615 in words is "one trillion, five billion, five hundred six million, five hundred sixty-six thousand, six hundred fifteen".