180361601 has 12 divisors (see below), whose sum is σ = 210156948. Its totient is φ = 154338912.

The previous prime is 180361553. The next prime is 180361603. The reversal of 180361601 is 106163081.

It can be written as a sum of positive squares in 2 ways, for example, as 153165376 + 27196225 = 12376^2 + 5215^2 .

It is not a de Polignac number, because 180361601 - 2¹⁸ = 180099457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180361603) 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, 30455 + ... + 35891.

It is an arithmetic number, because the mean of its divisors is an integer number (17513079).

Almost surely, 2^180361601 is an apocalyptic number.

It is an amenable number.

180361601 is a deficient number, since it is larger than the sum of its proper divisors (29795347).

180361601 is an equidigital number, since it uses as much as digits as its factorization.

180361601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6128 (or 6121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 180361601 is about 13429.8771773982. The cubic root of 180361601 is about 564.9994528410. Note that the first 3 decimals are identical.

The spelling of 180361601 in words is "one hundred eighty million, three hundred sixty-one thousand, six hundred one".