1052305243524 has 144 divisors (see below), whose sum is σ = 2707417597248. Its totient is φ = 344568397824.

The previous prime is 1052305243499. The next prime is 1052305243571. The reversal of 1052305243524 is 4253425032501.

1052305243524 is a `hidden beast` number, since 1 + 0 + 52 + 30 + 52 + 4 + 3 + 524 = 666.

It is a super-3 number, since 3×1052305243524³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 635065704 + ... + 635067360.

It is an arithmetic number, because the mean of its divisors is an integer number (18801511092).

Almost surely, 2^{1052305243524} 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 1052305243524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353708798624).

1052305243524 is an abundant number, since it is smaller than the sum of its proper divisors (1655112353724).

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

1052305243524 is a wasteful number, since it uses less digits than its factorization.

1052305243524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 1052305243524 in words is "one trillion, fifty-two billion, three hundred five million, two hundred forty-three thousand, five hundred twenty-four".