5127132816 has 405 divisors, whose sum is σ = 17139193851. Its totient is φ = 1484780544.

The previous prime is 5127132797. The next prime is 5127132817. The reversal of 5127132816 is 6182317215.

The square root of 5127132816 is 71604.

It is a perfect power (a square), and thus also a powerful number.

5127132816 is a `hidden beast` number, since 51 + 271 + 328 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46294416 + 5080838400 = 6804^2 + 71280^2 .

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

Its product of digits (20160) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (5127132817) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 301596040 + ... + 301596056.

Almost surely, 2^5127132816 is an apocalyptic number.

5127132816 is the 71604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5127132816

5127132816 is an abundant number, since it is smaller than the sum of its proper divisors (12012061035).

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

5127132816 is an equidigital number, since it uses as much as digits as its factorization.

5127132816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 35 counting only the distinct ones).

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

The cubic root of 5127132816 is about 1724.3477549210.

Multiplying 5127132816 by its sum of digits (36), we get a square (184576781376 = 429624²).

5127132816 divided by its sum of digits (36) gives a square (142420356 = 11934²).

The spelling of 5127132816 in words is "five billion, one hundred twenty-seven million, one hundred thirty-two thousand, eight hundred sixteen".