2116613264561 has 2 divisors, whose sum is σ = 2116613264562. Its totient is φ = 2116613264560.

The previous prime is 2116613264503. The next prime is 2116613264567. The reversal of 2116613264561 is 1654623166112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1823428918336 + 293184346225 = 1350344^2 + 541465^2 .

It is a cyclic number.

It is not a de Polignac number, because 2116613264561 - 2³⁰ = 2115539522737 is a prime.

It is not a weakly prime, because it can be changed into another prime (2116613264567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058306632280 + 1058306632281.

It is an arithmetic number, because the mean of its divisors is an integer number (1058306632281).

Almost surely, 2^{2116613264561} is an apocalyptic number.

It is an amenable number.

2116613264561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2116613264561 is an equidigital number, since it uses as much as digits as its factorization.

2116613264561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 311040, while the sum is 44.

The spelling of 2116613264561 in words is "two trillion, one hundred sixteen billion, six hundred thirteen million, two hundred sixty-four thousand, five hundred sixty-one".