2561017274207 has 64 divisors (see below), whose sum is σ = 3174042854400. Its totient is φ = 2017924254720.

The previous prime is 2561017274183. The next prime is 2561017274251. The reversal of 2561017274207 is 7024727101652.

2561017274207 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 2561017274207 - 2¹⁶ = 2561017208671 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561017274287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168027107 + ... + 168042347.

It is an arithmetic number, because the mean of its divisors is an integer number (49594419600).

Almost surely, 2^{2561017274207} is an apocalyptic number.

2561017274207 is a deficient number, since it is larger than the sum of its proper divisors (613025580193).

2561017274207 is a wasteful number, since it uses less digits than its factorization.

2561017274207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15616.

The product of its (nonzero) digits is 329280, while the sum is 44.

The spelling of 2561017274207 in words is "two trillion, five hundred sixty-one billion, seventeen million, two hundred seventy-four thousand, two hundred seven".