1288317383705 has 12 divisors (see below), whose sum is σ = 1699301277156. Its totient is φ = 936958096800.

The previous prime is 1288317383699. The next prime is 1288317383723. The reversal of 1288317383705 is 5073837138821.

It can be written as a sum of positive squares in 2 ways, for example, as 896415091264 + 391902292441 = 946792^2 + 626021^2 .

It is not a de Polignac number, because 1288317383705 - 2¹⁴ = 1288317367321 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1064724506 + ... + 1064725715.

It is an arithmetic number, because the mean of its divisors is an integer number (141608439763).

Almost surely, 2^{1288317383705} is an apocalyptic number.

It is an amenable number.

1288317383705 is a deficient number, since it is larger than the sum of its proper divisors (410983893451).

1288317383705 is a wasteful number, since it uses less digits than its factorization.

1288317383705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129450248 (or 2129450237 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 1288317383705 in words is "one trillion, two hundred eighty-eight billion, three hundred seventeen million, three hundred eighty-three thousand, seven hundred five".