2585759393969 has 2 divisors, whose sum is σ = 2585759393970. Its totient is φ = 2585759393968.

The previous prime is 2585759393897. The next prime is 2585759393983. The reversal of 2585759393969 is 9693939575852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2102317303969 + 483442090000 = 1449937^2 + 695300^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585759393969 - 2²⁰ = 2585758345393 is a prime.

It is a super-2 number, since 2×2585759393969² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2585759393893 and 2585759393902.

It is not a weakly prime, because it can be changed into another prime (2585759393989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292879696984 + 1292879696985.

It is an arithmetic number, because the mean of its divisors is an integer number (1292879696985).

Almost surely, 2^{2585759393969} is an apocalyptic number.

It is an amenable number.

2585759393969 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585759393969 is an equidigital number, since it uses as much as digits as its factorization.

2585759393969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4960116000, while the sum is 80.

The spelling of 2585759393969 in words is "two trillion, five hundred eighty-five billion, seven hundred fifty-nine million, three hundred ninety-three thousand, nine hundred sixty-nine".