5798218386601 has 9 divisors (see below), whose sum is σ = 5909812968549. Its totient is φ = 5688692826336.

The previous prime is 5798218386589. The next prime is 5798218386607. The reversal of 5798218386601 is 1066838128975.

The square root of 5798218386601 is 2407949.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3776418776601 + 2021799610000 = 1943301^2 + 1421900^2 .

It is not a de Polignac number, because 5798218386601 - 2⁷ = 5798218386473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5798218386607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 127598581 + ... + 127644013.

Almost surely, 2^{5798218386601} is an apocalyptic number.

5798218386601 is the 2407949-th square number.

5798218386601 is the 1203975-th centered octagonal number.

It is an amenable number.

5798218386601 is a deficient number, since it is larger than the sum of its proper divisors (111594581948).

5798218386601 is an frugal number, since it uses more digits than its factorization.

5798218386601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90972 (or 45486 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 64.

Multiplying 5798218386601 by its sum of digits (64), we get a square (371085976742464 = 19263592²).

The spelling of 5798218386601 in words is "five trillion, seven hundred ninety-eight billion, two hundred eighteen million, three hundred eighty-six thousand, six hundred one".