5161310171136 has 1248 divisors, whose sum is σ = 18806976348160. Its totient is φ = 1381531189248.

The previous prime is 5161310171123. The next prime is 5161310171177. The reversal of 5161310171136 is 6311710131615.

5161310171136 is a `hidden beast` number, since 5 + 1 + 613 + 1 + 0 + 1 + 7 + 1 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5161310171136.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16812085095 + ... + 16812085401.

Almost surely, 2^{5161310171136} is an apocalyptic number.

5161310171136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5161310171136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9403488174080).

5161310171136 is an abundant number, since it is smaller than the sum of its proper divisors (13645666177024).

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

5161310171136 is a wasteful number, since it uses less digits than its factorization.

5161310171136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 5161310171136 in words is "five trillion, one hundred sixty-one billion, three hundred ten million, one hundred seventy-one thousand, one hundred thirty-six".