630512100 has 243 divisors, whose sum is σ = 2120548521. Its totient is φ = 162712800.

The previous prime is 630512083. The next prime is 630512101. The reversal of 630512100 is 1215036.

The square root of 630512100 is 25110.

It is a perfect power (a square), and thus also a powerful number.

630512100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 226984356 + 403527744 = 15066^2 + 20088^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (630512101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20339085 + ... + 20339115.

Almost surely, 2^630512100 is an apocalyptic number.

630512100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

630512100 is the 25110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630512100

630512100 is an abundant number, since it is smaller than the sum of its proper divisors (1490036421).

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

630512100 is an equidigital number, since it uses as much as digits as its factorization.

630512100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The cubic root of 630512100 is about 857.4941024734.

Adding to 630512100 its reverse (1215036), we get a palindrome (631727136).

The spelling of 630512100 in words is "six hundred thirty million, five hundred twelve thousand, one hundred".