1052165584 has 40 divisors (see below), whose sum is σ = 2160169280. Its totient is φ = 495072000.

The previous prime is 1052165579. The next prime is 1052165591. The reversal of 1052165584 is 4855612501.

It is a super-2 number, since 2×1052165584² = 2214104832308122112, which 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34444 + ... + 57364.

It is an arithmetic number, because the mean of its divisors is an integer number (54004232).

Almost surely, 2^1052165584 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 1052165584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080084640).

1052165584 is an abundant number, since it is smaller than the sum of its proper divisors (1108003696).

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

1052165584 is a wasteful number, since it uses less digits than its factorization.

1052165584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23099 (or 23093 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 1052165584 is about 32437.1019667294. The cubic root of 1052165584 is about 1017.0946362427.

The spelling of 1052165584 in words is "one billion, fifty-two million, one hundred sixty-five thousand, five hundred eighty-four".