1121005066591 has 8 divisors (see below), whose sum is σ = 1157753084544. Its totient is φ = 1084293708960.

The previous prime is 1121005066553. The next prime is 1121005066609. The reversal of 1121005066591 is 1956605001211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1121005066591 - 2²¹ = 1121002969439 is a prime.

It is a super-2 number, since 2×1121005066591² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1121005066591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121005066541) 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 7 ways as a sum of consecutive naturals, for example, 9102916 + ... + 9225241.

It is an arithmetic number, because the mean of its divisors is an integer number (144719135568).

Almost surely, 2^{1121005066591} is an apocalyptic number.

1121005066591 is a deficient number, since it is larger than the sum of its proper divisors (36748017953).

1121005066591 is a wasteful number, since it uses less digits than its factorization.

1121005066591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18330161.

The product of its (nonzero) digits is 16200, while the sum is 37.

The spelling of 1121005066591 in words is "one trillion, one hundred twenty-one billion, five million, sixty-six thousand, five hundred ninety-one".