180777182041 has 9 divisors (see below), whose sum is σ = 181801228959. Its totient is φ = 179758878336.

The previous prime is 180777182009. The next prime is 180777182107. The reversal of 180777182041 is 140281777081.

The square root of 180777182041 is 425179.

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., 43800211225 + 136976970816 = 209285^2 + 370104^2 .

It is not a de Polignac number, because 180777182041 - 2⁵ = 180777182009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 180777181982 and 180777182000.

It is not an unprimeable number, because it can be changed into a prime (180777182441) 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, 82058446 + ... + 82060648.

It is an arithmetic number, because the mean of its divisors is an integer number (20200136551).

Almost surely, 2^180777182041 is an apocalyptic number.

180777182041 is the 425179-th square number.

180777182041 is the 212590-th centered octagonal number.

It is an amenable number.

180777182041 is a deficient number, since it is larger than the sum of its proper divisors (1024046918).

180777182041 is an frugal number, since it uses more digits than its factorization.

180777182041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 46.

The spelling of 180777182041 in words is "one hundred eighty billion, seven hundred seventy-seven million, one hundred eighty-two thousand, forty-one".