241513449734209 has 81 divisors (see below), whose sum is σ = 272799529529499. Its totient is φ = 213760504880640.

The previous prime is 241513449734197. The next prime is 241513449734233. The reversal of 241513449734209 is 902437944315142.

The square root of 241513449734209 is 15540703.

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

It can be written as a sum of positive squares in 13 ways, for example, as 601826850625 + 240911622883584 = 775775^2 + 15521328^2 .

It is not a de Polignac number, because 241513449734209 - 2⁵ = 241513449734177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (241513449734239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 303028167399 + ... + 303028168195.

Almost surely, 2^{241513449734209} is an apocalyptic number.

241513449734209 is the 15540703-rd square number.

241513449734209 is the 7770352-nd centered octagonal number.

It is an amenable number.

241513449734209 is a deficient number, since it is larger than the sum of its proper divisors (31286079795290).

241513449734209 is an frugal number, since it uses more digits than its factorization.

241513449734209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 241513449734209 in words is "two hundred forty-one trillion, five hundred thirteen billion, four hundred forty-nine million, seven hundred thirty-four thousand, two hundred nine".