2253513331200 has 360 divisors, whose sum is σ = 7856817609168. Its totient is φ = 569305128960.

The previous prime is 2253513331183. The next prime is 2253513331207. The reversal of 2253513331200 is 21333153522.

It is a happy number.

It is a super-2 number, since 2×2253513331200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2253513331207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 13781119 + ... + 13943681.

Almost surely, 2^{2253513331200} is an apocalyptic number.

2253513331200 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 2253513331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928408804584).

2253513331200 is an abundant number, since it is smaller than the sum of its proper divisors (5603304277968).

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

2253513331200 is a wasteful number, since it uses less digits than its factorization.

2253513331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162632 (or 162592 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 2253513331200 its reverse (21333153522), we get a palindrome (2274846484722).

The spelling of 2253513331200 in words is "two trillion, two hundred fifty-three billion, five hundred thirteen million, three hundred thirty-one thousand, two hundred".