5166756500 has 48 divisors (see below), whose sum is σ = 11313054480. Its totient is φ = 2061417600.

The previous prime is 5166756451. The next prime is 5166756521. The reversal of 5166756500 is 56576615.

It can be written as a sum of positive squares in 8 ways, for example, as 2712743056 + 2454013444 = 52084^2 + 49538^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185486 + ... + 211514.

It is an arithmetic number, because the mean of its divisors is an integer number (235688635).

Almost surely, 2^5166756500 is an apocalyptic number.

5166756500 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 5166756500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656527240).

5166756500 is an abundant number, since it is smaller than the sum of its proper divisors (6146297980).

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

5166756500 is a wasteful number, since it uses less digits than its factorization.

5166756500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26445 (or 26433 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 41.

The square root of 5166756500 is about 71880.1537282719. The cubic root of 5166756500 is about 1728.7784152433.

The spelling of 5166756500 in words is "five billion, one hundred sixty-six million, seven hundred fifty-six thousand, five hundred".