2610109071361 has 16 divisors (see below), whose sum is σ = 2921117732928. Its totient is φ = 2312115163200.

The previous prime is 2610109071329. The next prime is 2610109071397. The reversal of 2610109071361 is 1631709010162.

It is a happy number.

2610109071361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2610109071361 - 2⁵ = 2610109071329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2610109071361.

It is not an unprimeable number, because it can be changed into a prime (2610109071961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18105210 + ... + 18248803.

It is an arithmetic number, because the mean of its divisors is an integer number (182569858308).

Almost surely, 2^{2610109071361} is an apocalyptic number.

It is an amenable number.

2610109071361 is a deficient number, since it is larger than the sum of its proper divisors (311008661567).

2610109071361 is a wasteful number, since it uses less digits than its factorization.

2610109071361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36354192.

The product of its (nonzero) digits is 13608, while the sum is 37.

The spelling of 2610109071361 in words is "two trillion, six hundred ten billion, one hundred nine million, seventy-one thousand, three hundred sixty-one".