5172191820 has 288 divisors, whose sum is σ = 16897398336. Its totient is φ = 1327104000.

The previous prime is 5172191819. The next prime is 5172191821. The reversal of 5172191820 is 281912715.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5172191819) and next prime (5172191821).

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 (5172191821) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 20125132 + ... + 20125388.

It is an arithmetic number, because the mean of its divisors is an integer number (58671522).

Almost surely, 2^5172191820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5172191820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8448699168).

5172191820 is an abundant number, since it is smaller than the sum of its proper divisors (11725206516).

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

5172191820 is a wasteful number, since it uses less digits than its factorization.

5172191820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 5172191820 is about 71917.9520008739. The cubic root of 5172191820 is about 1729.3844157299.

The spelling of 5172191820 in words is "five billion, one hundred seventy-two million, one hundred ninety-one thousand, eight hundred twenty".