1053527125168 has 80 divisors (see below), whose sum is σ = 2372777775360. Its totient is φ = 443778709248.

The previous prime is 1053527125103. The next prime is 1053527125177. The reversal of 1053527125168 is 8615217253501.

It is a super-2 number, since 2×1053527125168² (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 49397355 + ... + 49418677.

It is an arithmetic number, because the mean of its divisors is an integer number (29659722192).

Almost surely, 2^{1053527125168} 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 1053527125168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186388887680).

1053527125168 is an abundant number, since it is smaller than the sum of its proper divisors (1319250650192).

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

1053527125168 is a wasteful number, since it uses less digits than its factorization.

1053527125168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28874 (or 28868 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 46.

The spelling of 1053527125168 in words is "one trillion, fifty-three billion, five hundred twenty-seven million, one hundred twenty-five thousand, one hundred sixty-eight".