1052071552 has 128 divisors (see below), whose sum is σ = 2526336000. Its totient is φ = 435778560.

The previous prime is 1052071549. The next prime is 1052071577. The reversal of 1052071552 is 2551702501.

1052071552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1052071552² = 2213709101055377408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1052071552.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360638 + ... + 1361410.

It is an arithmetic number, because the mean of its divisors is an integer number (19737000).

Almost surely, 2^1052071552 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 1052071552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263168000).

1052071552 is an abundant number, since it is smaller than the sum of its proper divisors (1474264448).

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

1052071552 is an frugal number, since it uses more digits than its factorization.

1052071552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The square root of 1052071552 is about 32435.6524830317. The cubic root of 1052071552 is about 1017.0643361031.

The spelling of 1052071552 in words is "one billion, fifty-two million, seventy-one thousand, five hundred fifty-two".