2661105289757 has 8 divisors (see below), whose sum is σ = 2711685566520. Its totient is φ = 2610538744320.

The previous prime is 2661105289753. The next prime is 2661105289769. The reversal of 2661105289757 is 7579825011662.

2661105289757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 59533072036 + 2601572217721 = 243994^2 + 1612939^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2661105289757 - 2² = 2661105289753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2661105289696 and 2661105289705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661105289753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3041132 + ... + 3817157.

It is an arithmetic number, because the mean of its divisors is an integer number (338960695815).

Almost surely, 2^{2661105289757} is an apocalyptic number.

It is an amenable number.

2661105289757 is a deficient number, since it is larger than the sum of its proper divisors (50580276763).

2661105289757 is an equidigital number, since it uses as much as digits as its factorization.

2661105289757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865663.

The product of its (nonzero) digits is 12700800, while the sum is 59.

The spelling of 2661105289757 in words is "two trillion, six hundred sixty-one billion, one hundred five million, two hundred eighty-nine thousand, seven hundred fifty-seven".