2661105289753 has 2 divisors, whose sum is σ = 2661105289754. Its totient is φ = 2661105289752.

The previous prime is 2661105289727. The next prime is 2661105289769. The reversal of 2661105289753 is 3579825011662.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2619649072089 + 41456217664 = 1618533^2 + 203608^2 .

It is a cyclic number.

It is not a de Polignac number, because 2661105289753 - 2¹³ = 2661105281561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2661105289694 and 2661105289703.

It is not a weakly prime, because it can be changed into another prime (2661105289853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1330552644876 + 1330552644877.

It is an arithmetic number, because the mean of its divisors is an integer number (1330552644877).

Almost surely, 2^{2661105289753} is an apocalyptic number.

It is an amenable number.

2661105289753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2661105289753 is an equidigital number, since it uses as much as digits as its factorization.

2661105289753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 2661105289753 in words is "two trillion, six hundred sixty-one billion, one hundred five million, two hundred eighty-nine thousand, seven hundred fifty-three".