5188368284401 has 9 divisors (see below), whose sum is σ = 5267117341899. Its totient is φ = 5110779617064.

The previous prime is 5188368284389. The next prime is 5188368284417. The reversal of 5188368284401 is 1044828638815.

The square root of 5188368284401 is 2277799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3165499264225 + 2022869020176 = 1779185^2 + 1422276^2 .

It is not a de Polignac number, because 5188368284401 - 2¹¹ = 5188368282353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5188368282401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 152595535 + ... + 152629531.

It is an arithmetic number, because the mean of its divisors is an integer number (585235260211).

Almost surely, 2^{5188368284401} is an apocalyptic number.

5188368284401 is the 2277799-th square number.

5188368284401 is the 1138900-th centered octagonal number.

It is an amenable number.

5188368284401 is a deficient number, since it is larger than the sum of its proper divisors (78749057498).

5188368284401 is an frugal number, since it uses more digits than its factorization.

5188368284401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68128 (or 34064 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 58.

The spelling of 5188368284401 in words is "five trillion, one hundred eighty-eight billion, three hundred sixty-eight million, two hundred eighty-four thousand, four hundred one".