52102627600 has 135 divisors (see below), whose sum is σ = 127556940589. Its totient is φ = 20452096000.

The previous prime is 52102627573. The next prime is 52102627607. The reversal of 52102627600 is 672620125.

The square root of 52102627600 is 228260.

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

It can be written as a sum of positive squares in 13 ways, for example, as 36583447824 + 15519179776 = 191268^2 + 124576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52102627607) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 461085144 + ... + 461085256.

Almost surely, 2^52102627600 is an apocalyptic number.

52102627600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52102627600 is the 228260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52102627600

52102627600 is an abundant number, since it is smaller than the sum of its proper divisors (75454312989).

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

52102627600 is a wasteful number, since it uses less digits than its factorization.

52102627600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 52102627600 in words is "fifty-two billion, one hundred two million, six hundred twenty-seven thousand, six hundred".