55508117504401 has 2 divisors, whose sum is σ = 55508117504402. Its totient is φ = 55508117504400.

The previous prime is 55508117504269. The next prime is 55508117504429. The reversal of 55508117504401 is 10440571180555.

55508117504401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31666235180176 + 23841882324225 = 5627276^2 + 4882815^2 .

It is a cyclic number.

It is not a de Polignac number, because 55508117504401 - 2³⁵ = 55473757766033 is a prime.

It is a super-2 number, since 2×55508117504401² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (55508117504471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27754058752200 + 27754058752201.

It is an arithmetic number, because the mean of its divisors is an integer number (27754058752201).

Almost surely, 2^{55508117504401} is an apocalyptic number.

It is an amenable number.

55508117504401 is a deficient number, since it is larger than the sum of its proper divisors (1).

55508117504401 is an equidigital number, since it uses as much as digits as its factorization.

55508117504401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560000, while the sum is 46.

Adding to 55508117504401 its reverse (10440571180555), we get a palindrome (65948688684956).

The spelling of 55508117504401 in words is "fifty-five trillion, five hundred eight billion, one hundred seventeen million, five hundred four thousand, four hundred one".