1052572560 has 120 divisors (see below), whose sum is σ = 3533416704. Its totient is φ = 259084800.

The previous prime is 1052572531. The next prime is 1052572627. The reversal of 1052572560 is 652752501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1052572560² = 2215817988129907200, which 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 23 ways as a sum of consecutive naturals, for example, 27585 + ... + 53535.

Almost surely, 2^1052572560 is an apocalyptic number.

1052572560 is a gapful number since it is divisible by the number (10) 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 1052572560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766708352).

1052572560 is an abundant number, since it is smaller than the sum of its proper divisors (2480844144).

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

1052572560 is a wasteful number, since it uses less digits than its factorization.

1052572560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25993 (or 25974 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 1052572560 is about 32443.3746703391. The cubic root of 1052572560 is about 1017.2257562092.

The spelling of 1052572560 in words is "one billion, fifty-two million, five hundred seventy-two thousand, five hundred sixty".