52668300 has 54 divisors (see below), whose sum is σ = 152751508. Its totient is φ = 14011360.

The previous prime is 52668299. The next prime is 52668311. The reversal of 52668300 is 386625.

52668300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 125491 + ... + 125909.

Almost surely, 2^52668300 is an apocalyptic number.

52668300 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 52668300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76375754).

52668300 is an abundant number, since it is smaller than the sum of its proper divisors (100083208).

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

52668300 is a wasteful number, since it uses less digits than its factorization.

52668300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 52668300 is about 7257.2928837136. The cubic root of 52668300 is about 374.8433123175.

The spelling of 52668300 in words is "fifty-two million, six hundred sixty-eight thousand, three hundred".