5117529312 has 576 divisors, whose sum is σ = 19247155200. Its totient is φ = 1254113280.

The previous prime is 5117529301. The next prime is 5117529337. The reversal of 5117529312 is 2139257115.

5117529312 is a `hidden beast` number, since 5 + 117 + 529 + 3 + 12 = 666.

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 95 ways as a sum of consecutive naturals, for example, 18883737 + ... + 18884007.

It is an arithmetic number, because the mean of its divisors is an integer number (33415200).

Almost surely, 2^5117529312 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 5117529312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623577600).

5117529312 is an abundant number, since it is smaller than the sum of its proper divisors (14129625888).

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

5117529312 is a wasteful number, since it uses less digits than its factorization.

5117529312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 5117529312 is about 71536.9087394752. The cubic root of 5117529312 is about 1723.2704711729.

The spelling of 5117529312 in words is "five billion, one hundred seventeen million, five hundred twenty-nine thousand, three hundred twelve".