52354016100 has 243 divisors, whose sum is σ = 170603199403. Its totient is φ = 13428401280.

The previous prime is 52354016083. The next prime is 52354016131. The reversal of 52354016100 is 161045325.

The square root of 52354016100 is 228810.

It is a perfect power (a square), and thus also a powerful number.

52354016100 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 40 + 1 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 719634276 + 51634381824 = 26826^2 + 227232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 199064569 + ... + 199064831.

Almost surely, 2^52354016100 is an apocalyptic number.

52354016100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52354016100 is the 228810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52354016100

52354016100 is an abundant number, since it is smaller than the sum of its proper divisors (118249183303).

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

52354016100 is a wasteful number, since it uses less digits than its factorization.

52354016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Multiplying 52354016100 by its product of nonzero digits (3600), we get a square (188474457960000 = 13728600²).

The spelling of 52354016100 in words is "fifty-two billion, three hundred fifty-four million, sixteen thousand, one hundred".