5106005000 has 80 divisors (see below), whose sum is σ = 12160216860. Its totient is φ = 2008800000.

The previous prime is 5106004997. The next prime is 5106005017. The reversal of 5106005000 is 5006015.

It can be written as a sum of positive squares in 10 ways, for example, as 364580836 + 4741424164 = 19094^2 + 68858^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5106005000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 296630 + ... + 313370.

Almost surely, 2^5106005000 is an apocalyptic number.

5106005000 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 5106005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080108430).

5106005000 is an abundant number, since it is smaller than the sum of its proper divisors (7054211860).

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

5106005000 is a wasteful number, since it uses less digits than its factorization.

5106005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16828 (or 16809 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5106005000 is about 71456.3153262187. The cubic root of 5106005000 is about 1721.9759381124.

The spelling of 5106005000 in words is "five billion, one hundred six million, five thousand".