52632100 has 36 divisors (see below), whose sum is σ = 118156500. Its totient is φ = 20325760.

The previous prime is 52632077. The next prime is 52632101. The reversal of 52632100 is 123625.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2985984 + 49646116 = 1728^2 + 7046^2 .

It is not an unprimeable number, because it can be changed into a prime (52632101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6175 + ... + 11974.

It is an arithmetic number, because the mean of its divisors is an integer number (3282125).

Almost surely, 2^52632100 is an apocalyptic number.

52632100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52632100 is an abundant number, since it is smaller than the sum of its proper divisors (65524400).

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

52632100 is a wasteful number, since it uses less digits than its factorization.

52632100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18192 (or 18185 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 52632100 is about 7254.7984120856. The cubic root of 52632100 is about 374.7574134756.

Adding to 52632100 its reverse (123625), we get a palindrome (52755725).

The spelling of 52632100 in words is "fifty-two million, six hundred thirty-two thousand, one hundred".