1052975305512 has 384 divisors, whose sum is σ = 3191418921600. Its totient is φ = 311631446016.

The previous prime is 1052975305493. The next prime is 1052975305513. The reversal of 1052975305512 is 2155035792501.

1052975305512 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 97 + 5 + 3 + 0 + 551 + 2 = 666.

It is a super-2 number, since 2×1052975305512² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052975305513) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 463252408 + ... + 463254680.

It is an arithmetic number, because the mean of its divisors is an integer number (8310986775).

Almost surely, 2^{1052975305512} is an apocalyptic number.

1052975305512 is a gapful number since it is divisible by the number (12) 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 1052975305512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595709460800).

1052975305512 is an abundant number, since it is smaller than the sum of its proper divisors (2138443616088).

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

1052975305512 is a wasteful number, since it uses less digits than its factorization.

1052975305512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 1052975305512 in words is "one trillion, fifty-two billion, nine hundred seventy-five million, three hundred five thousand, five hundred twelve".