5125128100 has 27 divisors (see below), whose sum is σ = 11123081697. Its totient is φ = 2049764880.

The previous prime is 5125128097. The next prime is 5125128109. The reversal of 5125128100 is 18215215.

The square root of 5125128100 is 71590.

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., 1845046116 + 3280081984 = 42954^2 + 57272^2 .

It is a super-2 number, since 2×5125128100² = 52533876082819220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5125128109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 712321 + ... + 719479.

Almost surely, 2^5125128100 is an apocalyptic number.

5125128100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5125128100 is the 71590-th square number.

It is an amenable number.

5125128100 is an abundant number, since it is smaller than the sum of its proper divisors (5997953597).

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

5125128100 is an frugal number, since it uses more digits than its factorization.

5125128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14332 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The cubic root of 5125128100 is about 1724.1229848401.

Multiplying 5125128100 by its sum of digits (25), we get a square (128128202500 = 357950²).

5125128100 divided by its sum of digits (25) gives a square (205005124 = 14318²).

It can be divided in two parts, 5125 and 128100, that added together give a square (133225 = 365²).

The spelling of 5125128100 in words is "five billion, one hundred twenty-five million, one hundred twenty-eight thousand, one hundred".