5114525100 has 144 divisors (see below), whose sum is σ = 15058286208. Its totient is φ = 1340111360.

The previous prime is 5114525083. The next prime is 5114525107. The reversal of 5114525100 is 15254115.

It is not an unprimeable number, because it can be changed into a prime (5114525107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4397119 + ... + 4398281.

It is an arithmetic number, because the mean of its divisors is an integer number (104571432).

Almost surely, 2^5114525100 is an apocalyptic number.

5114525100 is a gapful number since it is divisible by the number (50) 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 5114525100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529143104).

5114525100 is an abundant number, since it is smaller than the sum of its proper divisors (9943761108).

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

5114525100 is a wasteful number, since it uses less digits than its factorization.

5114525100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 5114525100 is about 71515.9080205237. The cubic root of 5114525100 is about 1722.9331936249.

Adding to 5114525100 its reverse (15254115), we get a palindrome (5129779215).

It can be divided in two parts, 51145 and 25100, that added together give a triangular number (76245 = T₃₉₀).

The spelling of 5114525100 in words is "five billion, one hundred fourteen million, five hundred twenty-five thousand, one hundred".