241238145601 has 16 divisors (see below), whose sum is σ = 256054011408. Its totient is φ = 226492416000.

The previous prime is 241238145503. The next prime is 241238145607. The reversal of 241238145601 is 106541832142.

241238145601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 491160²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 401601600 + 240836544001 = 20040^2 + 490751^2 .

It is a 5-Lehmer number, since φ(241238145601) divides (241238145601-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 241238145601 - 2⁹ = 241238145089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (241238145607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13078081 + ... + 13096513.

It is an arithmetic number, because the mean of its divisors is an integer number (16003375713).

Almost surely, 2^241238145601 is an apocalyptic number.

It is an amenable number.

241238145601 is a deficient number, since it is larger than the sum of its proper divisors (14815865807).

241238145601 is a wasteful number, since it uses less digits than its factorization.

241238145601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20292.

The product of its (nonzero) digits is 46080, while the sum is 37.

Adding to 241238145601 its reverse (106541832142), we get a palindrome (347779977743).

The spelling of 241238145601 in words is "two hundred forty-one billion, two hundred thirty-eight million, one hundred forty-five thousand, six hundred one".