5984251590529 has 9 divisors (see below), whose sum is σ = 5991925588929. Its totient is φ = 5976587417220.

The previous prime is 5984251590521. The next prime is 5984251590587. The reversal of 5984251590529 is 9250951524895.

The square root of 5984251590529 is 2446273.

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

It is not a de Polignac number, because 5984251590529 - 2³ = 5984251590521 is a prime.

It is a super-2 number, since 2×5984251590529² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5984251590521) 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, 3598466752 + ... + 3598468414.

It is an arithmetic number, because the mean of its divisors is an integer number (665769509881).

Almost surely, 2^{5984251590529} is an apocalyptic number.

5984251590529 is the 2446273-rd square number.

5984251590529 is the 1223137-th centered octagonal number.

It is an amenable number.

5984251590529 is a deficient number, since it is larger than the sum of its proper divisors (7673998400).

5984251590529 is an frugal number, since it uses more digits than its factorization.

5984251590529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 64.

Multiplying 5984251590529 by its sum of digits (64), we get a square (382992101793856 = 19570184²).

The spelling of 5984251590529 in words is "five trillion, nine hundred eighty-four billion, two hundred fifty-one million, five hundred ninety thousand, five hundred twenty-nine".