61101606651161 has 8 divisors (see below), whose sum is σ = 61263455752200. Its totient is φ = 60939782040960.

The previous prime is 61101606651079. The next prime is 61101606651193. The reversal of 61101606651161 is 16115660610116.

61101606651161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11153195329600 + 49948411321561 = 3339640^2 + 7067419^2 .

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 61101606651161 - 2³⁴ = 61084426781977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61101606351161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1120946 + ... + 11111243.

It is an arithmetic number, because the mean of its divisors is an integer number (7657931969025).

Almost surely, 2^{61101606651161} is an apocalyptic number.

It is an amenable number.

61101606651161 is a deficient number, since it is larger than the sum of its proper divisors (161849101039).

61101606651161 is a wasteful number, since it uses less digits than its factorization.

61101606651161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12245419.

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 61101606651161 in words is "sixty-one trillion, one hundred one billion, six hundred six million, six hundred fifty-one thousand, one hundred sixty-one".