2559120726097 has 32 divisors (see below), whose sum is σ = 2909262311424. Its totient is φ = 2234455372800.

The previous prime is 2559120726079. The next prime is 2559120726109. The reversal of 2559120726097 is 7906270219552.

It is a cyclic number.

It is not a de Polignac number, because 2559120726097 - 2¹⁵ = 2559120693329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2559120726047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14249097 + ... + 14427577.

It is an arithmetic number, because the mean of its divisors is an integer number (90914447232).

Almost surely, 2^{2559120726097} is an apocalyptic number.

It is an amenable number.

2559120726097 is a deficient number, since it is larger than the sum of its proper divisors (350141585327).

2559120726097 is a wasteful number, since it uses less digits than its factorization.

2559120726097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179329.

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 2559120726097 in words is "two trillion, five hundred fifty-nine billion, one hundred twenty million, seven hundred twenty-six thousand, ninety-seven".