241317720081 has 27 divisors (see below), whose sum is σ = 350305006779. Its totient is φ = 160081687152.

The previous prime is 241317720079. The next prime is 241317720121. The reversal of 241317720081 is 180027713142.

The square root of 241317720081 is 491241.

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

241317720081 is a `hidden beast` number, since 241 + 317 + 7 + 20 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131170730625 + 110146989456 = 362175^2 + 331884^2 .

It is not a de Polignac number, because 241317720081 - 2¹ = 241317720079 is a prime.

It is a super-2 number, since 2×241317720081² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (241317720041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 549698460 + ... + 549698898.

Almost surely, 2^241317720081 is an apocalyptic number.

241317720081 is the 491241-st square number.

241317720081 is the 245621-st centered octagonal number.

It is an amenable number.

241317720081 is a deficient number, since it is larger than the sum of its proper divisors (108987286698).

241317720081 is an frugal number, since it uses more digits than its factorization.

241317720081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Multiplying 241317720081 by its sum of digits (36), we get a square (8687437922916 = 2947446²).

The spelling of 241317720081 in words is "two hundred forty-one billion, three hundred seventeen million, seven hundred twenty thousand, eighty-one".