2585791678429 has 2 divisors, whose sum is σ = 2585791678430. Its totient is φ = 2585791678428.

The previous prime is 2585791678391. The next prime is 2585791678447. The reversal of 2585791678429 is 9248761975852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1722196905625 + 863594772804 = 1312325^2 + 929298^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585791678429 - 2¹³ = 2585791670237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2585791678469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292895839214 + 1292895839215.

It is an arithmetic number, because the mean of its divisors is an integer number (1292895839215).

Almost surely, 2^{2585791678429} is an apocalyptic number.

It is an amenable number.

2585791678429 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585791678429 is an equidigital number, since it uses as much as digits as its factorization.

2585791678429 is an evil number, because the sum of its binary digits is even.

The product of its digits is 609638400, while the sum is 73.

The spelling of 2585791678429 in words is "two trillion, five hundred eighty-five billion, seven hundred ninety-one million, six hundred seventy-eight thousand, four hundred twenty-nine".