1001110559961 has 8 divisors (see below), whose sum is σ = 1377872598784. Its totient is φ = 645877780560.

The previous prime is 1001110559927. The next prime is 1001110559963. The reversal of 1001110559961 is 1699550111001.

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

It is not a de Polignac number, because 1001110559961 - 2¹³ = 1001110551769 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001110559963) 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, 5382314746 + ... + 5382314931.

It is an arithmetic number, because the mean of its divisors is an integer number (172234074848).

Almost surely, 2^{1001110559961} is an apocalyptic number.

It is an amenable number.

1001110559961 is a deficient number, since it is larger than the sum of its proper divisors (376762038823).

1001110559961 is a wasteful number, since it uses less digits than its factorization.

1001110559961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10764629711.

The product of its (nonzero) digits is 12150, while the sum is 39.

The spelling of 1001110559961 in words is "one trillion, one billion, one hundred ten million, five hundred fifty-nine thousand, nine hundred sixty-one".