2584123765441 has 9 divisors (see below), whose sum is σ = 2609623132641. Its totient is φ = 2558871218052.

The previous prime is 2584123765409. The next prime is 2584123765463. The reversal of 2584123765441 is 1445673214852.

The square root of 2584123765441 is 1607521.

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

2584123765441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2584123765441 - 2⁵ = 2584123765409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2584123765471) 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, 165566860 + ... + 165582466.

It is an arithmetic number, because the mean of its divisors is an integer number (289958125849).

Almost surely, 2^{2584123765441} is an apocalyptic number.

2584123765441 is the 1607521-st square number.

2584123765441 is the 803761-st centered octagonal number.

It is an amenable number.

2584123765441 is a deficient number, since it is larger than the sum of its proper divisors (25499367200).

2584123765441 is an frugal number, since it uses more digits than its factorization.

2584123765441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31420 (or 15710 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 52.

The spelling of 2584123765441 in words is "two trillion, five hundred eighty-four billion, one hundred twenty-three million, seven hundred sixty-five thousand, four hundred forty-one".