2665457706817 has 2 divisors, whose sum is σ = 2665457706818. Its totient is φ = 2665457706816.

The previous prime is 2665457706803. The next prime is 2665457706823. The reversal of 2665457706817 is 7186077545662.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2524790703681 + 140667003136 = 1588959^2 + 375056^2 .

It is a cyclic number.

It is not a de Polignac number, because 2665457706817 - 2³¹ = 2663310223169 is a prime.

It is not a weakly prime, because it can be changed into another prime (2665457706827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1332728853408 + 1332728853409.

It is an arithmetic number, because the mean of its divisors is an integer number (1332728853409).

Almost surely, 2^{2665457706817} is an apocalyptic number.

It is an amenable number.

2665457706817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2665457706817 is an equidigital number, since it uses as much as digits as its factorization.

2665457706817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 118540800, while the sum is 64.

The spelling of 2665457706817 in words is "two trillion, six hundred sixty-five billion, four hundred fifty-seven million, seven hundred six thousand, eight hundred seventeen".