2591508741697 has 2 divisors, whose sum is σ = 2591508741698. Its totient is φ = 2591508741696.

The previous prime is 2591508741683. The next prime is 2591508741707. The reversal of 2591508741697 is 7961478051952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2256457626801 + 335051114896 = 1502151^2 + 578836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2591508741697 is a prime.

It is not a weakly prime, because it can be changed into another prime (2591508241697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1295754370848 + 1295754370849.

It is an arithmetic number, because the mean of its divisors is an integer number (1295754370849).

Almost surely, 2^{2591508741697} is an apocalyptic number.

It is an amenable number.

2591508741697 is a deficient number, since it is larger than the sum of its proper divisors (1).

2591508741697 is an equidigital number, since it uses as much as digits as its factorization.

2591508741697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38102400, while the sum is 64.

The spelling of 2591508741697 in words is "two trillion, five hundred ninety-one billion, five hundred eight million, seven hundred forty-one thousand, six hundred ninety-seven".