5161161001056 has 96 divisors (see below), whose sum is σ = 13607738726400. Its totient is φ = 1712810373120.

The previous prime is 5161161001037. The next prime is 5161161001057. The reversal of 5161161001056 is 6501001611615.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5161161001057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115592496 + ... + 115637136.

It is an arithmetic number, because the mean of its divisors is an integer number (141747278400).

Almost surely, 2^{5161161001056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5161161001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803869363200).

5161161001056 is an abundant number, since it is smaller than the sum of its proper divisors (8446577725344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5161161001056 is a wasteful number, since it uses less digits than its factorization.

5161161001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49932 (or 49924 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 5161161001056 in words is "five trillion, one hundred sixty-one billion, one hundred sixty-one million, one thousand, fifty-six".