10705065506717 has 8 divisors (see below), whose sum is σ = 10721319555960. Its totient is φ = 10688814259200.

The previous prime is 10705065506689. The next prime is 10705065506743. The reversal of 10705065506717 is 71760556050701.

It can be written as a sum of positive squares in 4 ways, for example, as 83586904996 + 10621478601721 = 289114^2 + 3259061^2 .

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 10705065506717 - 2¹⁴ = 10705065490333 is a prime.

It is a super-2 number, since 2×10705065506717² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705065506017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7011509 + ... + 8400677.

It is an arithmetic number, because the mean of its divisors is an integer number (1340164944495).

Almost surely, 2^{10705065506717} is an apocalyptic number.

It is an amenable number.

10705065506717 is a deficient number, since it is larger than the sum of its proper divisors (16254049243).

10705065506717 is a wasteful number, since it uses less digits than its factorization.

10705065506717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400863.

The product of its (nonzero) digits is 1543500, while the sum is 50.

The spelling of 10705065506717 in words is "ten trillion, seven hundred five billion, sixty-five million, five hundred six thousand, seven hundred seventeen".