54719588658361 has 27 divisors (see below), whose sum is σ = 61063513505967. Its totient is φ = 48997734511440.

The previous prime is 54719588658359. The next prime is 54719588658421. The reversal of 54719588658361 is 16385688591745.

It is a happy number.

The square root of 54719588658361 is 7397269.

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

54719588658361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 18303722541225 + 36415866117136 = 4278285^2 + 6034556^2 .

It is not a de Polignac number, because 54719588658361 - 2¹ = 54719588658359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54719588658311) 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 in 26 ways as a sum of consecutive naturals, for example, 5451782235 + ... + 5451792271.

Almost surely, 2^{54719588658361} is an apocalyptic number.

54719588658361 is the 7397269-th square number.

54719588658361 is the 3698635-th centered octagonal number.

It is an amenable number.

54719588658361 is a deficient number, since it is larger than the sum of its proper divisors (6343924847606).

54719588658361 is an frugal number, since it uses more digits than its factorization.

54719588658361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20230 (or 10115 counting only the distinct ones).

The product of its digits is 1741824000, while the sum is 76.

The spelling of 54719588658361 in words is "fifty-four trillion, seven hundred nineteen billion, five hundred eighty-eight million, six hundred fifty-eight thousand, three hundred sixty-one".