1001565661160 has 32 divisors (see below), whose sum is σ = 2308486710600. Its totient is φ = 390854891520.

The previous prime is 1001565661157. The next prime is 1001565661163. The reversal of 1001565661160 is 611665651001.

It is an interprime number because it is at equal distance from previous prime (1001565661157) and next prime (1001565661163).

It can be written as a sum of positive squares in 4 ways, for example, as 706349478916 + 295216182244 = 840446^2 + 543338^2 .

It is a super-2 number, since 2×1001565661160² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001565661163) 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 7 ways as a sum of consecutive naturals, for example, 305353745 + ... + 305357024.

Almost surely, 2^{1001565661160} is an apocalyptic number.

1001565661160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001565661160 is an abundant number, since it is smaller than the sum of its proper divisors (1306921049440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001565661160 is a wasteful number, since it uses less digits than its factorization.

1001565661160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610710821 (or 610710817 counting only the distinct ones).

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

The spelling of 1001565661160 in words is "one trillion, one billion, five hundred sixty-five million, six hundred sixty-one thousand, one hundred sixty".