61200314177 has 12 divisors (see below), whose sum is σ = 66238758396. Its totient is φ = 56513483520.

The previous prime is 61200314167. The next prime is 61200314183. The reversal of 61200314177 is 77141300216.

It can be written as a sum of positive squares in 6 ways, for example, as 8997660736 + 52202653441 = 94856^2 + 228479^2 .

It is not a de Polignac number, because 61200314177 - 2⁸ = 61200313921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61200314137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1982474 + ... + 2013107.

It is an arithmetic number, because the mean of its divisors is an integer number (5519896533).

Almost surely, 2^61200314177 is an apocalyptic number.

It is an amenable number.

61200314177 is a deficient number, since it is larger than the sum of its proper divisors (5038444219).

61200314177 is a wasteful number, since it uses less digits than its factorization.

61200314177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995668 (or 3995651 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 61200314177 in words is "sixty-one billion, two hundred million, three hundred fourteen thousand, one hundred seventy-seven".