1052585760 has 48 divisors (see below), whose sum is σ = 3315646656. Its totient is φ = 280689408.

The previous prime is 1052585747. The next prime is 1052585767. The reversal of 1052585760 is 675852501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1052585760² = 2215873564309555200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052585767) by changing a digit.

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, 1095964 + ... + 1096923.

It is an arithmetic number, because the mean of its divisors is an integer number (69075972).

Almost surely, 2^1052585760 is an apocalyptic number.

1052585760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052585760 is an abundant number, since it is smaller than the sum of its proper divisors (2263060896).

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

1052585760 is a wasteful number, since it uses less digits than its factorization.

1052585760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192905 (or 2192897 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The square root of 1052585760 is about 32443.5781010665. The cubic root of 1052585760 is about 1017.2300084335.

The spelling of 1052585760 in words is "one billion, fifty-two million, five hundred eighty-five thousand, seven hundred sixty".