2595516656849 has 2 divisors, whose sum is σ = 2595516656850. Its totient is φ = 2595516656848.

The previous prime is 2595516656813. The next prime is 2595516656869. The reversal of 2595516656849 is 9486566155952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2077253447824 + 518263209025 = 1441268^2 + 719905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2595516656849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2595516656869) 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 as a sum of consecutive naturals, namely, 1297758328424 + 1297758328425.

It is an arithmetic number, because the mean of its divisors is an integer number (1297758328425).

Almost surely, 2^{2595516656849} is an apocalyptic number.

It is an amenable number.

2595516656849 is a deficient number, since it is larger than the sum of its proper divisors (1).

2595516656849 is an equidigital number, since it uses as much as digits as its factorization.

2595516656849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 699840000, while the sum is 71.

The spelling of 2595516656849 in words is "two trillion, five hundred ninety-five billion, five hundred sixteen million, six hundred fifty-six thousand, eight hundred forty-nine".