52182900 has 288 divisors, whose sum is σ = 209986560. Its totient is φ = 10800000.

The previous prime is 52182881. The next prime is 52182943. The reversal of 52182900 is 928125.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207775 + ... + 208025.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^52182900 is an apocalyptic number.

52182900 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 52182900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

52182900 is an abundant number, since it is smaller than the sum of its proper divisors (157803660).

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

52182900 is a wasteful number, since it uses less digits than its factorization.

52182900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 52182900 is about 7223.7732522554. The cubic root of 52182900 is about 373.6882166155.

It can be divided in two parts, 5218 and 2900, that added together give a palindrome (8118).

The spelling of 52182900 in words is "fifty-two million, one hundred eighty-two thousand, nine hundred".