52662100 has 72 divisors (see below), whose sum is σ = 120457568. Its totient is φ = 19958400.

The previous prime is 52662097. The next prime is 52662109. The reversal of 52662100 is 126625.

52662100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52662109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158935 + ... + 159265.

Almost surely, 2^52662100 is an apocalyptic number.

52662100 is a gapful number since it is divisible by the number (50) 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 52662100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60228784).

52662100 is an abundant number, since it is smaller than the sum of its proper divisors (67795468).

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

52662100 is a wasteful number, since it uses less digits than its factorization.

52662100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 52662100 is about 7256.8657146181. The cubic root of 52662100 is about 374.8286031551.

Adding to 52662100 its reverse (126625), we get a palindrome (52788725).

It can be divided in two parts, 526 and 62100, that added together give a palindrome (62626).

The spelling of 52662100 in words is "fifty-two million, six hundred sixty-two thousand, one hundred".