1009573960993 has 8 divisors (see below), whose sum is σ = 1091981244200. Its totient is φ = 927844927488.

The previous prime is 1009573960981. The next prime is 1009573961009. The reversal of 1009573960993 is 3990693759001.

It can be written as a sum of positive squares in 4 ways, for example, as 307971722304 + 701602238689 = 554952^2 + 837617^2 .

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 1009573960993 - 2²¹ = 1009571863841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009573960093) 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, 169559328 + ... + 169565281.

It is an arithmetic number, because the mean of its divisors is an integer number (136497655525).

Almost surely, 2^{1009573960993} is an apocalyptic number.

1009573960993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1009573960993 is a deficient number, since it is larger than the sum of its proper divisors (82407283207).

1009573960993 is a wasteful number, since it uses less digits than its factorization.

1009573960993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339124851.

The product of its (nonzero) digits is 12400290, while the sum is 61.

The spelling of 1009573960993 in words is "one trillion, nine billion, five hundred seventy-three million, nine hundred sixty thousand, nine hundred ninety-three".