1252545344000 has 160 divisors (see below), whose sum is σ = 3124712612736. Its totient is φ = 500791603200.

The previous prime is 1252545343979. The next prime is 1252545344003. The reversal of 1252545344000 is 4435452521.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1252545344003) 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 15 ways as a sum of consecutive naturals, for example, 276925739 + ... + 276930261.

Almost surely, 2^{1252545344000} is an apocalyptic number.

1252545344000 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 1252545344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562356306368).

1252545344000 is an abundant number, since it is smaller than the sum of its proper divisors (1872167268736).

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

1252545344000 is an frugal number, since it uses more digits than its factorization.

1252545344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8883 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 1252545344000 in words is "one trillion, two hundred fifty-two billion, five hundred forty-five million, three hundred forty-four thousand".