501312100 has 27 divisors (see below), whose sum is σ = 1088333337. Its totient is φ = 200435280.

The previous prime is 501312089. The next prime is 501312109. The reversal of 501312100 is 1213105.

The square root of 501312100 is 22390.

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

It can be written as a sum of positive squares in only one way, i.e., 180472356 + 320839744 = 13434^2 + 17912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (501312109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 222781 + ... + 225019.

Almost surely, 2^501312100 is an apocalyptic number.

501312100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

501312100 is the 22390-th square number.

It is an amenable number.

501312100 is an abundant number, since it is smaller than the sum of its proper divisors (587021237).

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

501312100 is an equidigital number, since it uses as much as digits as its factorization.

501312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The cubic root of 501312100 is about 794.3941958681.

Adding to 501312100 its reverse (1213105), we get a palindrome (502525205).

The spelling of 501312100 in words is "five hundred one million, three hundred twelve thousand, one hundred".