61067800161 has 9 divisors (see below), whose sum is σ = 88210115539. Its totient is φ = 40711372536.

The previous prime is 61067800127. The next prime is 61067800229. The reversal of 61067800161 is 16100876016.

The square root of 61067800161 is 247119.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 61055939025 + 11861136 = 247095^2 + 3444^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 61067800161 - 2¹⁵ = 61067767393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61067800121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 700171 + ... + 782543.

Almost surely, 2^61067800161 is an apocalyptic number.

61067800161 is the 247119-th square number.

61067800161 is the 123560-th centered octagonal number.

It is an amenable number.

61067800161 is a deficient number, since it is larger than the sum of its proper divisors (27142315378).

61067800161 is an frugal number, since it uses more digits than its factorization.

61067800161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164752 (or 82376 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 61067800161 by its sum of digits (36), we get a square (2198440805796 = 1482714²).

The spelling of 61067800161 in words is "sixty-one billion, sixty-seven million, eight hundred thousand, one hundred sixty-one".