243153505125 has 80 divisors (see below), whose sum is σ = 468942130800. Its totient is φ = 125209929600.

The previous prime is 243153505117. The next prime is 243153505129. The reversal of 243153505125 is 521505351342.

243153505125 is a `hidden beast` number, since 2 + 43 + 1 + 53 + 50 + 512 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9974616129 + 233178888996 = 99873^2 + 482886^2 .

It is not a de Polignac number, because 243153505125 - 2³ = 243153505117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 243153505125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243153505129) 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 79 ways as a sum of consecutive naturals, for example, 120430 + ... + 707679.

It is an arithmetic number, because the mean of its divisors is an integer number (5861776635).

Almost surely, 2^243153505125 is an apocalyptic number.

243153505125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

243153505125 is a deficient number, since it is larger than the sum of its proper divisors (225788625675).

243153505125 is an equidigital number, since it uses as much as digits as its factorization.

243153505125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828165 (or 828146 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 243153505125 its reverse (521505351342), we get a palindrome (764658856467).

The spelling of 243153505125 in words is "two hundred forty-three billion, one hundred fifty-three million, five hundred five thousand, one hundred twenty-five".