52752621610000 has 675 divisors, whose sum is σ = 143086075285923. Its totient is φ = 18825955200000.

The previous prime is 52752621609979. The next prime is 52752621610033. The reversal of 52752621610000 is 1612625725.

The square root of 52752621610000 is 7263100.

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

52752621610000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 50256019365904 + 2496602244096 = 7089148^2 + 1580064^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 349355109925 + ... + 349355110075.

Almost surely, 2^{52752621610000} is an apocalyptic number.

52752621610000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52752621610000 is the 7263100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52752621610000

52752621610000 is an abundant number, since it is smaller than the sum of its proper divisors (90333453675923).

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

52752621610000 is an equidigital number, since it uses as much as digits as its factorization.

52752621610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 52752621610000 in words is "fifty-two trillion, seven hundred fifty-two billion, six hundred twenty-one million, six hundred ten thousand".