5171953200 has 240 divisors, whose sum is σ = 17524211712. Its totient is φ = 1301760000.

The previous prime is 5171953151. The next prime is 5171953201. The reversal of 5171953200 is 23591715.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (5171953201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523505 + ... + 1526895.

Almost surely, 2^5171953200 is an apocalyptic number.

5171953200 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 5171953200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8762105856).

5171953200 is an abundant number, since it is smaller than the sum of its proper divisors (12352258512).

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

5171953200 is a wasteful number, since it uses less digits than its factorization.

5171953200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 5171953200 is about 71916.2930079130. The cubic root of 5171953200 is about 1729.3578201672.

The spelling of 5171953200 in words is "five billion, one hundred seventy-one million, nine hundred fifty-three thousand, two hundred".