5161101120 has 336 divisors, whose sum is σ = 20596238208. Its totient is φ = 1161768960.

The previous prime is 5161101097. The next prime is 5161101131. The reversal of 5161101120 is 211011615.

It is a happy number.

5161101120 is a `hidden beast` number, since 51 + 611 + 0 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5161101093 and 5161101102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348810 + ... + 1352630.

It is an arithmetic number, because the mean of its divisors is an integer number (61298328).

Almost surely, 2^5161101120 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 5161101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10298119104).

5161101120 is an abundant number, since it is smaller than the sum of its proper divisors (15435137088).

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

5161101120 is a wasteful number, since it uses less digits than its factorization.

5161101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 5161101120 is about 71840.8040044096. The cubic root of 5161101120 is about 1728.1474282651.

Adding to 5161101120 its reverse (211011615), we get a palindrome (5372112735).

The spelling of 5161101120 in words is "five billion, one hundred sixty-one million, one hundred one thousand, one hundred twenty".