1252643534304 has 96 divisors (see below), whose sum is σ = 3327161080320. Its totient is φ = 412625740800.

The previous prime is 1252643534291. The next prime is 1252643534321. The reversal of 1252643534304 is 4034353462521.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2797284 + ... + 3214044.

It is an arithmetic number, because the mean of its divisors is an integer number (34657927920).

Almost surely, 2^{1252643534304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252643534304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663580540160).

1252643534304 is an abundant number, since it is smaller than the sum of its proper divisors (2074517546016).

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

1252643534304 is a wasteful number, since it uses less digits than its factorization.

1252643534304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417144 (or 417136 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

Adding to 1252643534304 its reverse (4034353462521), we get a palindrome (5286996996825).

The spelling of 1252643534304 in words is "one trillion, two hundred fifty-two billion, six hundred forty-three million, five hundred thirty-four thousand, three hundred four".