2544513342401 has 8 divisors (see below), whose sum is σ = 2656506715200. Its totient is φ = 2432633499472.

The previous prime is 2544513342379. The next prime is 2544513342407. The reversal of 2544513342401 is 1042433154452.

2544513342401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2544513342401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2544513342407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28336655 + ... + 28426308.

It is an arithmetic number, because the mean of its divisors is an integer number (332063339400).

Almost surely, 2^{2544513342401} is an apocalyptic number.

It is an amenable number.

2544513342401 is a deficient number, since it is larger than the sum of its proper divisors (111993372799).

2544513342401 is a wasteful number, since it uses less digits than its factorization.

2544513342401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56764935.

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 2544513342401 its reverse (1042433154452), we get a palindrome (3586946496853).

The spelling of 2544513342401 in words is "two trillion, five hundred forty-four billion, five hundred thirteen million, three hundred forty-two thousand, four hundred one".