1253444552000 has 112 divisors (see below), whose sum is σ = 3122746518528. Its totient is φ = 498375027200.

The previous prime is 1253444551979. The next prime is 1253444552023. The reversal of 1253444552000 is 2554443521.

It is a super-2 number, since 2×1253444552000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 866897 + ... + 1805103.

It is an arithmetic number, because the mean of its divisors is an integer number (27881665344).

Almost surely, 2^{1253444552000} is an apocalyptic number.

1253444552000 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 1253444552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561373259264).

1253444552000 is an abundant number, since it is smaller than the sum of its proper divisors (1869301966528).

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

1253444552000 is an equidigital number, since it uses as much as digits as its factorization.

1253444552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938401 (or 938381 counting only the distinct ones).

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

Adding to 1253444552000 its reverse (2554443521), we get a palindrome (1255998995521).

The spelling of 1253444552000 in words is "one trillion, two hundred fifty-three billion, four hundred forty-four million, five hundred fifty-two thousand".