1053585792 has 224 divisors, whose sum is σ = 3598768080. Its totient is φ = 300837888.

The previous prime is 1053585763. The next prime is 1053585823. The reversal of 1053585792 is 2975853501.

1053585792 is a `hidden beast` number, since 10 + 53 + 585 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×1053585792³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 652378 + ... + 653990.

Almost surely, 2^1053585792 is an apocalyptic number.

1053585792 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 1053585792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799384040).

1053585792 is an abundant number, since it is smaller than the sum of its proper divisors (2545182288).

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

1053585792 is an frugal number, since it uses more digits than its factorization.

1053585792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 1053585792 is about 32458.9863057983. The cubic root of 1053585792 is about 1017.5520536327.

The spelling of 1053585792 in words is "one billion, fifty-three million, five hundred eighty-five thousand, seven hundred ninety-two".