1252133666784 has 1536 divisors, whose sum is σ = 5387577753600. Its totient is φ = 271963422720.

The previous prime is 1252133666747. The next prime is 1252133666801. The reversal of 1252133666784 is 4876663312521.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1252133666784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 377943912 + ... + 377947224.

It is an arithmetic number, because the mean of its divisors is an integer number (3507537600).

Almost surely, 2^{1252133666784} is an apocalyptic number.

1252133666784 is a gapful number since it is divisible by the number (14) 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 1252133666784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693788876800).

1252133666784 is an abundant number, since it is smaller than the sum of its proper divisors (4135444086816).

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

1252133666784 is a wasteful number, since it uses less digits than its factorization.

1252133666784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3391 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 1252133666784 in words is "one trillion, two hundred fifty-two billion, one hundred thirty-three million, six hundred sixty-six thousand, seven hundred eighty-four".