1052559360 has 384 divisors, whose sum is σ = 3868300800. Its totient is φ = 274710528.

The previous prime is 1052559317. The next prime is 1052559367. The reversal of 1052559360 is 639552501.

1052559360 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 5 + 593 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1052559360² = 2215762412647219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1052559367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22394857 + ... + 22394903.

It is an arithmetic number, because the mean of its divisors is an integer number (10073700).

Almost surely, 2^1052559360 is an apocalyptic number.

1052559360 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 1052559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934150400).

1052559360 is an abundant number, since it is smaller than the sum of its proper divisors (2815741440).

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

1052559360 is an frugal number, since it uses more digits than its factorization.

1052559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 1052559360 is about 32443.1712383361. The cubic root of 1052559360 is about 1017.2215039494.

The spelling of 1052559360 in words is "one billion, fifty-two million, five hundred fifty-nine thousand, three hundred sixty".