181284350625 has 135 divisors (see below), whose sum is σ = 381106876293. Its totient is φ = 82770660000.

The previous prime is 181284350581. The next prime is 181284350641. The reversal of 181284350625 is 526053482181.

The square root of 181284350625 is 425775.

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

181284350625 is a `hidden beast` number, since 1 + 8 + 12 + 8 + 4 + 3 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14212693089 + 167071657536 = 119217^2 + 408744^2 .

It is not a de Polignac number, because 181284350625 - 2⁷ = 181284350497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 223531470 + ... + 223532280.

Almost surely, 2^181284350625 is an apocalyptic number.

181284350625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

181284350625 is the 425775-th square number.

181284350625 is the 212888-th centered octagonal number.

It is an amenable number.

181284350625 is an abundant number, since it is smaller than the sum of its proper divisors (199822525668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

181284350625 is an frugal number, since it uses more digits than its factorization.

181284350625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 181284350625 in words is "one hundred eighty-one billion, two hundred eighty-four million, three hundred fifty thousand, six hundred twenty-five".