253128100 has 81 divisors (see below), whose sum is σ = 577968867. Its totient is φ = 96223680.

The previous prime is 253128097. The next prime is 253128103. The reversal of 253128100 is 1821352.

The square root of 253128100 is 15910.

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

It is an interprime number because it is at equal distance from previous prime (253128097) and next prime (253128103).

It can be written as a sum of positive squares in 4 ways, for example, as 24029604 + 229098496 = 4902^2 + 15136^2 .

It is a super-2 number, since 2×253128100² = 128147670019220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253128103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5886679 + ... + 5886721.

Almost surely, 2^253128100 is an apocalyptic number.

253128100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

253128100 is the 15910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253128100

253128100 is an abundant number, since it is smaller than the sum of its proper divisors (324840767).

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

253128100 is a wasteful number, since it uses less digits than its factorization.

253128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The cubic root of 253128100 is about 632.5770813275.

Adding to 253128100 its reverse (1821352), we get a palindrome (254949452).

The spelling of 253128100 in words is "two hundred fifty-three million, one hundred twenty-eight thousand, one hundred".