63135300 has 72 divisors (see below), whose sum is σ = 183668800. Its totient is φ = 16744320.

The previous prime is 63135227. The next prime is 63135353. The reversal of 63135300 is 353136.

63135300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63135300² = 7972132212180000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 68241 + ... + 69159.

Almost surely, 2^63135300 is an apocalyptic number.

63135300 is a gapful number since it is divisible by the number (60) 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 63135300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91834400).

63135300 is an abundant number, since it is smaller than the sum of its proper divisors (120533500).

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

63135300 is a wasteful number, since it uses less digits than its factorization.

63135300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 63135300 is about 7945.7724608750. The cubic root of 63135300 is about 398.1903670846.

Adding to 63135300 its reverse (353136), we get a palindrome (63488436).

The spelling of 63135300 in words is "sixty-three million, one hundred thirty-five thousand, three hundred".