1005016651661 has 24 divisors (see below), whose sum is σ = 1144665500160. Its totient is φ = 880691122080.

The previous prime is 1005016651591. The next prime is 1005016651669. The reversal of 1005016651661 is 1661566105001.

It is not a de Polignac number, because 1005016651661 - 2²² = 1005012457357 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005016651669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1894040 + ... + 2365886.

It is an arithmetic number, because the mean of its divisors is an integer number (47694395840).

Almost surely, 2^{1005016651661} is an apocalyptic number.

1005016651661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005016651661 is a deficient number, since it is larger than the sum of its proper divisors (139648848499).

1005016651661 is a wasteful number, since it uses less digits than its factorization.

1005016651661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472505 (or 472494 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 1005016651661 in words is "one trillion, five billion, sixteen million, six hundred fifty-one thousand, six hundred sixty-one".