61166005506 has 12 divisors (see below), whose sum is σ = 132526345302. Its totient is φ = 20388668496.

The previous prime is 61166005501. The next prime is 61166005507. The reversal of 61166005506 is 60550066116.

61166005506 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 only one way, i.e., 32073586281 + 29092419225 = 179091^2 + 170565^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61166005501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1699055691 + ... + 1699055726.

Almost surely, 2^61166005506 is an apocalyptic number.

61166005506 is an abundant number, since it is smaller than the sum of its proper divisors (71360339796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61166005506 is a wasteful number, since it uses less digits than its factorization.

61166005506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398111425 (or 3398111422 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 61166005506 in words is "sixty-one billion, one hundred sixty-six million, five thousand, five hundred six".