253111200 has 144 divisors (see below), whose sum is σ = 829071936. Its totient is φ = 67072000.

The previous prime is 253111171. The next prime is 253111207. The reversal of 253111200 is 2111352.

253111200 = T₃₅₉ + T₃₆₀ + ... + T₁₁₆₀.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 253111200.

It is not an unprimeable number, because it can be changed into a prime (253111207) by changing a digit.

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, 631000 + ... + 631400.

It is an arithmetic number, because the mean of its divisors is an integer number (5757444).

Almost surely, 2^253111200 is an apocalyptic number.

253111200 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 253111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414535968).

253111200 is an abundant number, since it is smaller than the sum of its proper divisors (575960736).

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

253111200 is a wasteful number, since it uses less digits than its factorization.

253111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 253111200 is about 15909.4688786270. The cubic root of 253111200 is about 632.5630030926.

Adding to 253111200 its reverse (2111352), we get a palindrome (255222552).

It can be divided in two parts, 2531 and 11200, that added together give a palindrome (13731).

The spelling of 253111200 in words is "two hundred fifty-three million, one hundred eleven thousand, two hundred".