5171353920 has 168 divisors, whose sum is σ = 17902162824. Its totient is φ = 1370124288.

The previous prime is 5171353909. The next prime is 5171353949. The reversal of 5171353920 is 293531715.

5171353920 is a `hidden beast` number, since 51 + 71 + 3 + 539 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63107136 + 5108246784 = 7944^2 + 71472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 446442 + ... + 457878.

It is an arithmetic number, because the mean of its divisors is an integer number (106560493).

Almost surely, 2^5171353920 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 5171353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951081412).

5171353920 is an abundant number, since it is smaller than the sum of its proper divisors (12730808904).

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

5171353920 is a wasteful number, since it uses less digits than its factorization.

5171353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11617 (or 11604 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5171353920 is about 71912.1263765716. The cubic root of 5171353920 is about 1729.2910233791.

The spelling of 5171353920 in words is "five billion, one hundred seventy-one million, three hundred fifty-three thousand, nine hundred twenty".