5117578752 has 320 divisors, whose sum is σ = 16729929216. Its totient is φ = 1367900160.

The previous prime is 5117578747. The next prime is 5117578811. The reversal of 5117578752 is 2578757115.

It is a super-2 number, since 2×5117578752² = 52379224565843755008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5051398 + ... + 5052410.

Almost surely, 2^5117578752 is an apocalyptic number.

5117578752 is a gapful number since it is divisible by the number (52) 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 5117578752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8364964608).

5117578752 is an abundant number, since it is smaller than the sum of its proper divisors (11612350464).

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

5117578752 is a wasteful number, since it uses less digits than its factorization.

5117578752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1065 counting only the distinct ones).

The product of its digits is 686000, while the sum is 48.

The square root of 5117578752 is about 71537.2542945282. The cubic root of 5117578752 is about 1723.2760206098.

The spelling of 5117578752 in words is "five billion, one hundred seventeen million, five hundred seventy-eight thousand, seven hundred fifty-two".