1052781757568 has 72 divisors (see below), whose sum is σ = 2123252703705. Its totient is φ = 519965602816.

The previous prime is 1052781757523. The next prime is 1052781757597. The reversal of 1052781757568 is 8657571872501.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 941070727744 + 111711029824 = 970088^2 + 334232^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=725528.

It is a super-2 number, since 2×1052781757568² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1052781757568.

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 8 ways as a sum of consecutive naturals, for example, 1033151363 + ... + 1033152381.

Almost surely, 2^{1052781757568} 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 1052781757568

1052781757568 is an abundant number, since it is smaller than the sum of its proper divisors (1070470946137).

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

1052781757568 is an frugal number, since it uses more digits than its factorization.

1052781757568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 32928000, while the sum is 62.

The spelling of 1052781757568 in words is "one trillion, fifty-two billion, seven hundred eighty-one million, seven hundred fifty-seven thousand, five hundred sixty-eight".