61611006601105 has 16 divisors (see below), whose sum is σ = 79717357584144. Its totient is φ = 45441941679360.

The previous prime is 61611006601091. The next prime is 61611006601241. The reversal of 61611006601105 is 50110660011616.

It can be written as a sum of positive squares in 8 ways, for example, as 11696612040961 + 49914394560144 = 3420031^2 + 7065012^2 .

It is not a de Polignac number, because 61611006601105 - 2³⁵ = 61576646862737 is a prime.

It is a super-3 number, since 3×61611006601105³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

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, 577207074 + ... + 577313803.

It is an arithmetic number, because the mean of its divisors is an integer number (4982334849009).

Almost surely, 2^{61611006601105} is an apocalyptic number.

61611006601105 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61611006601105 is a deficient number, since it is larger than the sum of its proper divisors (18106350983039).

61611006601105 is a wasteful number, since it uses less digits than its factorization.

61611006601105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154521716.

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 61611006601105 in words is "sixty-one trillion, six hundred eleven billion, six million, six hundred one thousand, one hundred five".