1052182656 has 512 divisors, whose sum is σ = 3885465600. Its totient is φ = 273715200.

The previous prime is 1052182619. The next prime is 1052182657. The reversal of 1052182656 is 6562812501.

1052182656 = 2476² + 2477² + ... + 2636².

1052182656 is a `hidden beast` number, since 1 + 0 + 521 + 82 + 6 + 56 = 666.

It is a super-2 number, since 2×1052182656² = 2214176683174428672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1052182656.

It is not an unprimeable number, because it can be changed into a prime (1052182657) 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 63 ways as a sum of consecutive naturals, for example, 17248866 + ... + 17248926.

It is an arithmetic number, because the mean of its divisors is an integer number (7588800).

Almost surely, 2^1052182656 is an apocalyptic number.

1052182656 is a gapful number since it is divisible by the number (16) 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 1052182656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942732800).

1052182656 is an abundant number, since it is smaller than the sum of its proper divisors (2833282944).

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

1052182656 is a wasteful number, since it uses less digits than its factorization.

1052182656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1052182656 is about 32437.3651211069. The cubic root of 1052182656 is about 1017.1001371974.

The spelling of 1052182656 in words is "one billion, fifty-two million, one hundred eighty-two thousand, six hundred fifty-six".