181267320025 has 27 divisors (see below), whose sum is σ = 247094783229. Its totient is φ = 131813748000.

The previous prime is 181267319999. The next prime is 181267320043. The reversal of 181267320025 is 520023762181.

The square root of 181267320025 is 425755.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35269966809 + 145997353216 = 187803^2 + 382096^2 .

It is not a de Polignac number, because 181267320025 - 2⁷ = 181267319897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23412655 + ... + 23420395.

Almost surely, 2^181267320025 is an apocalyptic number.

181267320025 is the 425755-th square number.

181267320025 is the 212878-th centered octagonal number.

It is an amenable number.

181267320025 is a deficient number, since it is larger than the sum of its proper divisors (65827463204).

181267320025 is an frugal number, since it uses more digits than its factorization.

181267320025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15514 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 181267320025 in words is "one hundred eighty-one billion, two hundred sixty-seven million, three hundred twenty thousand, twenty-five".