242153223405553 has 16 divisors (see below), whose sum is σ = 248198601126096. Its totient is φ = 236163085849600.

The previous prime is 242153223405523. The next prime is 242153223405641. The reversal of 242153223405553 is 355504322351242.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 43239659521969 + 198913563883584 = 6575687^2 + 14103672^2 .

It is a cyclic number.

It is not a de Polignac number, because 242153223405553 - 2¹⁷ = 242153223274481 is a prime.

It is a super-2 number, since 2×242153223405553² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242153223405523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42592653 + ... + 47942053.

It is an arithmetic number, because the mean of its divisors is an integer number (15512412570381).

Almost surely, 2^{242153223405553} is an apocalyptic number.

It is an amenable number.

242153223405553 is a deficient number, since it is larger than the sum of its proper divisors (6045377720543).

242153223405553 is a wasteful number, since it uses less digits than its factorization.

242153223405553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354564.

The product of its (nonzero) digits is 4320000, while the sum is 46.

Adding to 242153223405553 its reverse (355504322351242), we get a palindrome (597657545756795).

The spelling of 242153223405553 in words is "two hundred forty-two trillion, one hundred fifty-three billion, two hundred twenty-three million, four hundred five thousand, five hundred fifty-three".