1052712472224 has 384 divisors, whose sum is σ = 3507545825280. Its totient is φ = 269358465024.

The previous prime is 1052712472187. The next prime is 1052712472283. The reversal of 1052712472224 is 4222742172501.

It is a super-3 number, since 3×1052712472224³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 63 ways as a sum of consecutive naturals, for example, 50700757 + ... + 50721515.

It is an arithmetic number, because the mean of its divisors is an integer number (9134233920).

Almost surely, 2^{1052712472224} is an apocalyptic number.

1052712472224 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 1052712472224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753772912640).

1052712472224 is an abundant number, since it is smaller than the sum of its proper divisors (2454833353056).

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

1052712472224 is a wasteful number, since it uses less digits than its factorization.

1052712472224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21012 (or 21004 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The spelling of 1052712472224 in words is "one trillion, fifty-two billion, seven hundred twelve million, four hundred seventy-two thousand, two hundred twenty-four".