1005506566616 has 32 divisors (see below), whose sum is σ = 1889499390240. Its totient is φ = 501641296128.

The previous prime is 1005506566613. The next prime is 1005506566619. The reversal of 1005506566616 is 6166656055001.

It is an interprime number because it is at equal distance from previous prime (1005506566613) and next prime (1005506566619).

It is a super-2 number, since 2×1005506566616² (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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6522620 + ... + 6674996.

It is an arithmetic number, because the mean of its divisors is an integer number (59046855945).

Almost surely, 2^{1005506566616} is an apocalyptic number.

It is an amenable number.

1005506566616 is a deficient number, since it is larger than the sum of its proper divisors (883992823624).

1005506566616 is a wasteful number, since it uses less digits than its factorization.

1005506566616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154203 (or 154199 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 47.

The spelling of 1005506566616 in words is "one trillion, five billion, five hundred six million, five hundred sixty-six thousand, six hundred sixteen".