2661518013677 has 2 divisors, whose sum is σ = 2661518013678. Its totient is φ = 2661518013676.

The previous prime is 2661518013653. The next prime is 2661518013709. The reversal of 2661518013677 is 7763108151662.

2661518013677 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1832154452041 + 829363561636 = 1353571^2 + 910694^2 .

It is a cyclic number.

It is not a de Polignac number, because 2661518013677 - 2¹⁸ = 2661517751533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2661518013647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1330759006838 + 1330759006839.

It is an arithmetic number, because the mean of its divisors is an integer number (1330759006839).

Almost surely, 2^{2661518013677} is an apocalyptic number.

It is an amenable number.

2661518013677 is a deficient number, since it is larger than the sum of its proper divisors (1).

2661518013677 is an equidigital number, since it uses as much as digits as its factorization.

2661518013677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 2661518013677 in words is "two trillion, six hundred sixty-one billion, five hundred eighteen million, thirteen thousand, six hundred seventy-seven".