52216820100 has 135 divisors (see below), whose sum is σ = 169332994677. Its totient is φ = 13919001120.

The previous prime is 52216820083. The next prime is 52216820107. The reversal of 52216820100 is 102861225.

It is a happy number.

The square root of 52216820100 is 228510.

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

52216820100 is a `hidden beast` number, since 522 + 16 + 8 + 20 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18798055236 + 33418764864 = 137106^2 + 182808^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52216820107) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20564631 + ... + 20567169.

Almost surely, 2^52216820100 is an apocalyptic number.

52216820100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52216820100 is the 228510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52216820100

52216820100 is an abundant number, since it is smaller than the sum of its proper divisors (117116174577).

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

52216820100 is an equidigital number, since it uses as much as digits as its factorization.

52216820100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 52216820100 in words is "fifty-two billion, two hundred sixteen million, eight hundred twenty thousand, one hundred".