5181273216 has 384 divisors, whose sum is σ = 18044208000. Its totient is φ = 1449197568.

The previous prime is 5181273211. The next prime is 5181273221. The reversal of 5181273216 is 6123721815.

5181273216 is a `hidden beast` number, since 518 + 127 + 3 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (5181273211) and next prime (5181273221).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (5181273211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11539360 + ... + 11539808.

It is an arithmetic number, because the mean of its divisors is an integer number (46990125).

Almost surely, 2^5181273216 is an apocalyptic number.

5181273216 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 5181273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022104000).

5181273216 is an abundant number, since it is smaller than the sum of its proper divisors (12862934784).

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

5181273216 is an equidigital number, since it uses as much as digits as its factorization.

5181273216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 514 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 5181273216 is about 71981.0615092609. The cubic root of 5181273216 is about 1730.3959818390.

The spelling of 5181273216 in words is "five billion, one hundred eighty-one million, two hundred seventy-three thousand, two hundred sixteen".