253112300 has 72 divisors (see below), whose sum is σ = 660791040. Its totient is φ = 82209600.

The previous prime is 253112297. The next prime is 253112329. The reversal of 253112300 is 3211352.

It is a super-2 number, since 2×253112300² = 128131672822580000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3785 + ... + 22815.

Almost surely, 2^253112300 is an apocalyptic number.

253112300 is a gapful number since it is divisible by the number (20) 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 253112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330395520).

253112300 is an abundant number, since it is smaller than the sum of its proper divisors (407678740).

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

253112300 is a wasteful number, since it uses less digits than its factorization.

253112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19071 (or 19064 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 253112300 is about 15909.5034491966. The cubic root of 253112300 is about 632.5639194464.

Adding to 253112300 its reverse (3211352), we get a palindrome (256323652).

The spelling of 253112300 in words is "two hundred fifty-three million, one hundred twelve thousand, three hundred".