5739517441441 has 27 divisors (see below), whose sum is σ = 7046866436211. Its totient is φ = 4660402040784.

The previous prime is 5739517441423. The next prime is 5739517441451. The reversal of 5739517441441 is 1441447159375.

The square root of 5739517441441 is 2395729.

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., 5333998107025 + 405519334416 = 2309545^2 + 636804^2 .

It is not a de Polignac number, because 5739517441441 - 2¹¹ = 5739517439393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5739517441451) 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, 318622951 + ... + 318640963.

It is an arithmetic number, because the mean of its divisors is an integer number (260995053193).

Almost surely, 2^{5739517441441} is an apocalyptic number.

5739517441441 is the 2395729-th square number.

5739517441441 is the 1197865-th centered octagonal number.

It is an amenable number.

5739517441441 is a deficient number, since it is larger than the sum of its proper divisors (1307348994770).

5739517441441 is an frugal number, since it uses more digits than its factorization.

5739517441441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36078 (or 18039 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 55.

The spelling of 5739517441441 in words is "five trillion, seven hundred thirty-nine billion, five hundred seventeen million, four hundred forty-one thousand, four hundred forty-one".