516738852 has 120 divisors (see below), whose sum is σ = 1566069120. Its totient is φ = 145514880.

The previous prime is 516738841. The next prime is 516738863. The reversal of 516738852 is 258837615.

516738852 is a `hidden beast` number, since 516 + 7 + 3 + 88 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (516738841) and next prime (516738863).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 516738798 and 516738807.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159424 + ... + 162632.

It is an arithmetic number, because the mean of its divisors is an integer number (13050576).

Almost surely, 2^516738852 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 516738852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783034560).

516738852 is an abundant number, since it is smaller than the sum of its proper divisors (1049330268).

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

516738852 is a wasteful number, since it uses less digits than its factorization.

516738852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3292 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 516738852 is about 22731.8906384841. The cubic root of 516738852 is about 802.4605762797.

The spelling of 516738852 in words is "five hundred sixteen million, seven hundred thirty-eight thousand, eight hundred fifty-two".