2011617001705 has 16 divisors (see below), whose sum is σ = 2556092140560. Its totient is φ = 1514537275392.

The previous prime is 2011617001657. The next prime is 2011617001753. The reversal of 2011617001705 is 5071007161102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2011617001657) and next prime (2011617001753).

It can be written as a sum of positive squares in 8 ways, for example, as 144494255376 + 1867122746329 = 380124^2 + 1366427^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011617001705 - 2¹⁵ = 2011616968937 is a prime.

It is a super-3 number, since 3×2011617001705³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705451 + ... + 2126239.

It is an arithmetic number, because the mean of its divisors is an integer number (159755758785).

Almost surely, 2^{2011617001705} is an apocalyptic number.

It is an amenable number.

2011617001705 is a deficient number, since it is larger than the sum of its proper divisors (544475138855).

2011617001705 is a wasteful number, since it uses less digits than its factorization.

2011617001705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437468.

The product of its (nonzero) digits is 2940, while the sum is 31.

The spelling of 2011617001705 in words is "two trillion, eleven billion, six hundred seventeen million, one thousand, seven hundred five".