1253305330200 has 1152 divisors, whose sum is σ = 5528360448000. Its totient is φ = 251983872000.

The previous prime is 1253305330163. The next prime is 1253305330267. The reversal of 1253305330200 is 20335033521.

1253305330200 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 305 + 330 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 210530424 + ... + 210536376.

It is an arithmetic number, because the mean of its divisors is an integer number (4798924000).

Almost surely, 2^{1253305330200} is an apocalyptic number.

1253305330200 is a gapful number since it is divisible by the number (10) 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 1253305330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764180224000).

1253305330200 is an abundant number, since it is smaller than the sum of its proper divisors (4275055117800).

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

1253305330200 is a wasteful number, since it uses less digits than its factorization.

1253305330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The spelling of 1253305330200 in words is "one trillion, two hundred fifty-three billion, three hundred five million, three hundred thirty thousand, two hundred".