2584132278517 has 2 divisors, whose sum is σ = 2584132278518. Its totient is φ = 2584132278516.

The previous prime is 2584132278499. The next prime is 2584132278523. The reversal of 2584132278517 is 7158722314852.

2584132278517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2194208213796 + 389924064721 = 1481286^2 + 624439^2 .

It is a cyclic number.

It is not a de Polignac number, because 2584132278517 - 2⁷ = 2584132278389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2584132278577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292066139258 + 1292066139259.

It is an arithmetic number, because the mean of its divisors is an integer number (1292066139259).

Almost surely, 2^{2584132278517} is an apocalyptic number.

It is an amenable number.

2584132278517 is a deficient number, since it is larger than the sum of its proper divisors (1).

2584132278517 is an equidigital number, since it uses as much as digits as its factorization.

2584132278517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7526400, while the sum is 55.

The spelling of 2584132278517 in words is "two trillion, five hundred eighty-four billion, one hundred thirty-two million, two hundred seventy-eight thousand, five hundred seventeen".