516374352 has 100 divisors (see below), whose sum is σ = 1609554100. Its totient is φ = 158879232.

The previous prime is 516374323. The next prime is 516374393. The reversal of 516374352 is 253473615.

It can be written as a sum of positive squares in 2 ways, for example, as 35712576 + 480661776 = 5976^2 + 21924^2 .

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 (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1524 + ... + 32172.

It is an arithmetic number, because the mean of its divisors is an integer number (16095541).

Almost surely, 2^516374352 is an apocalyptic number.

516374352 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 516374352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804777050).

516374352 is an abundant number, since it is smaller than the sum of its proper divisors (1093179748).

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

516374352 is a wasteful number, since it uses less digits than its factorization.

516374352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30682 (or 30667 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 516374352 is about 22723.8718531856. The cubic root of 516374352 is about 802.2718505948.

The spelling of 516374352 in words is "five hundred sixteen million, three hundred seventy-four thousand, three hundred fifty-two".