5138166852 has 144 divisors (see below), whose sum is σ = 16688286720. Its totient is φ = 1355102784.

The previous prime is 5138166841. The next prime is 5138166877. The reversal of 5138166852 is 2586618315.

5138166852 is a `hidden beast` number, since 513 + 81 + 6 + 6 + 8 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5138166798 and 5138166807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31453 + ... + 106139.

It is an arithmetic number, because the mean of its divisors is an integer number (115890880).

Almost surely, 2^5138166852 is an apocalyptic number.

5138166852 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 5138166852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344143360).

5138166852 is an abundant number, since it is smaller than the sum of its proper divisors (11550119868).

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

5138166852 is a wasteful number, since it uses less digits than its factorization.

5138166852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74727 (or 74712 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 5138166852 is about 71681.0076101055. The cubic root of 5138166852 is about 1725.5838507583.

The spelling of 5138166852 in words is "five billion, one hundred thirty-eight million, one hundred sixty-six thousand, eight hundred fifty-two".