181825488100 has 27 divisors (see below), whose sum is σ = 394570562491. Its totient is φ = 72728489600.

The previous prime is 181825488083. The next prime is 181825488107. The reversal of 181825488100 is 1884528181.

The square root of 181825488100 is 426410.

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 1705636 + 181823782464 = 1306^2 + 426408^2 .

It is a super-2 number, since 2×181825488100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (181825488107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4242780 + ... + 4285420.

Almost surely, 2^181825488100 is an apocalyptic number.

181825488100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

181825488100 is the 426410-th square number.

It is an amenable number.

181825488100 is an abundant number, since it is smaller than the sum of its proper divisors (212745074391).

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

181825488100 is an frugal number, since it uses more digits than its factorization.

181825488100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85296 (or 42648 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 46.

The spelling of 181825488100 in words is "one hundred eighty-one billion, eight hundred twenty-five million, four hundred eighty-eight thousand, one hundred".