2561652065167 has 16 divisors (see below), whose sum is σ = 2806290063360. Its totient is φ = 2323836050400.

The previous prime is 2561652065153. The next prime is 2561652065177. The reversal of 2561652065167 is 7615602561652.

2561652065167 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 a de Polignac number, because none of the positive numbers 2^k-2561652065167 is a prime.

It is a super-2 number, since 2×2561652065167² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561652065177) 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, 2108442 + ... + 3093352.

It is an arithmetic number, because the mean of its divisors is an integer number (175393128960).

Almost surely, 2^{2561652065167} is an apocalyptic number.

2561652065167 is a deficient number, since it is larger than the sum of its proper divisors (244637998193).

2561652065167 is a wasteful number, since it uses less digits than its factorization.

2561652065167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988374.

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 2561652065167 in words is "two trillion, five hundred sixty-one billion, six hundred fifty-two million, sixty-five thousand, one hundred sixty-seven".