242301405253221 has 6 divisors (see below), whose sum is σ = 349990918699110. Its totient is φ = 161534270168808.

The previous prime is 242301405253177. The next prime is 242301405253231. The reversal of 242301405253221 is 122352504103242.

242301405253221 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 0 + 1 + 405 + 25 + 3 + 221 = 666.

242301405253221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 193784190168321 + 48517215084900 = 13920639^2 + 6965430^2 .

It is not a de Polignac number, because 242301405253221 - 2¹⁰ = 242301405252197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242301405253231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13461189180726 + ... + 13461189180743.

It is an arithmetic number, because the mean of its divisors is an integer number (58331819783185).

Almost surely, 2^{242301405253221} is an apocalyptic number.

It is an amenable number.

242301405253221 is a deficient number, since it is larger than the sum of its proper divisors (107689513445889).

242301405253221 is a wasteful number, since it uses less digits than its factorization.

242301405253221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26922378361475 (or 26922378361472 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 242301405253221 its reverse (122352504103242), we get a palindrome (364653909356463).

The spelling of 242301405253221 in words is "two hundred forty-two trillion, three hundred one billion, four hundred five million, two hundred fifty-three thousand, two hundred twenty-one".