52632300 has 144 divisors (see below), whose sum is σ = 176988672. Its totient is φ = 11827200.

The previous prime is 52632277. The next prime is 52632317. The reversal of 52632300 is 323625.

52632300 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 (21).

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 47 ways as a sum of consecutive naturals, for example, 148924 + ... + 149276.

It is an arithmetic number, because the mean of its divisors is an integer number (1229088).

Almost surely, 2^52632300 is an apocalyptic number.

52632300 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 52632300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88494336).

52632300 is an abundant number, since it is smaller than the sum of its proper divisors (124356372).

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

52632300 is a wasteful number, since it uses less digits than its factorization.

52632300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 52632300 is about 7254.8121960530. The cubic root of 52632300 is about 374.7578881630.

Adding to 52632300 its reverse (323625), we get a palindrome (52955925).

The spelling of 52632300 in words is "fifty-two million, six hundred thirty-two thousand, three hundred".