5127992100 has 729 divisors, whose sum is σ = 21236298993. Its totient is φ = 1031184000.

The previous prime is 5127992087. The next prime is 5127992101. The reversal of 5127992100 is 12997215.

The square root of 5127992100 is 71610.

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

It can be written as a sum of positive squares in only one way, i.e., 1846077156 + 3281914944 = 42966^2 + 57288^2 .

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 (5127992101) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 165419085 + ... + 165419115.

Almost surely, 2^5127992100 is an apocalyptic number.

5127992100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5127992100 is the 71610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5127992100

5127992100 is an abundant number, since it is smaller than the sum of its proper divisors (16108306893).

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

5127992100 is a wasteful number, since it uses less digits than its factorization.

5127992100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

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

The cubic root of 5127992100 is about 1724.4440804712. Note that the first 3 decimals are identical.

Multiplying 5127992100 by its sum of digits (36), we get a square (184607715600 = 429660²).

5127992100 divided by its sum of digits (36) gives a square (142444225 = 11935²).

The spelling of 5127992100 in words is "five billion, one hundred twenty-seven million, nine hundred ninety-two thousand, one hundred".