1052080128 has 144 divisors (see below), whose sum is σ = 3315475800. Its totient is φ = 318750720.

The previous prime is 1052080121. The next prime is 1052080147. The reversal of 1052080128 is 8210802501.

1052080128 is a `hidden beast` number, since 10 + 520 + 8 + 0 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1052080128² = 2213745191464992768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052080121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200158 + ... + 205346.

Almost surely, 2^1052080128 is an apocalyptic number.

1052080128 is a gapful number since it is divisible by the number (18) 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 1052080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657737900).

1052080128 is an abundant number, since it is smaller than the sum of its proper divisors (2263395672).

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

1052080128 is a wasteful number, since it uses less digits than its factorization.

1052080128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1052080128 is about 32435.7846829701. The cubic root of 1052080128 is about 1017.0670996414.

Adding to 1052080128 its reverse (8210802501), we get a palindrome (9262882629).

The spelling of 1052080128 in words is "one billion, fifty-two million, eighty thousand, one hundred twenty-eight".