1052350524000 has 576 divisors, whose sum is σ = 4046551629120. Its totient is φ = 257970585600.

The previous prime is 1052350523993. The next prime is 1052350524031. The reversal of 1052350524000 is 4250532501.

It is a happy number.

1052350524000 is a `hidden beast` number, since 1 + 0 + 523 + 50 + 52 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×1052350524000² (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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26296006 + ... + 26335994.

It is an arithmetic number, because the mean of its divisors is an integer number (7025263245).

Almost surely, 2^{1052350524000} is an apocalyptic number.

1052350524000 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 1052350524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023275814560).

1052350524000 is an abundant number, since it is smaller than the sum of its proper divisors (2994201105120).

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

1052350524000 is a wasteful number, since it uses less digits than its factorization.

1052350524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40080 (or 40059 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 1052350524000 in words is "one trillion, fifty-two billion, three hundred fifty million, five hundred twenty-four thousand".