1016510605605 has 24 divisors (see below), whose sum is σ = 1922129146080. Its totient is φ = 492853626720.

The previous prime is 1016510605571. The next prime is 1016510605609. The reversal of 1016510605605 is 5065060156101.

1016510605605 is a `hidden beast` number, since 10 + 16 + 5 + 10 + 60 + 560 + 5 = 666.

It is not a de Polignac number, because 1016510605605 - 2⁹ = 1016510605093 is a prime.

It is a super-2 number, since 2×1016510605605² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1016510605605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016510605609) 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 23 ways as a sum of consecutive naturals, for example, 1026777895 + ... + 1026778884.

It is an arithmetic number, because the mean of its divisors is an integer number (80088714420).

Almost surely, 2^{1016510605605} is an apocalyptic number.

1016510605605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1016510605605 is a deficient number, since it is larger than the sum of its proper divisors (905618540475).

1016510605605 is a wasteful number, since it uses less digits than its factorization.

1016510605605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053556801 (or 2053556798 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 1016510605605 in words is "one trillion, sixteen billion, five hundred ten million, six hundred five thousand, six hundred five".