1005542564 has 18 divisors (see below), whose sum is σ = 1905474690. Its totient is φ = 464096256.

The previous prime is 1005542563. The next prime is 1005542579. The reversal of 1005542564 is 4652455001.

It can be written as a sum of positive squares in 3 ways, for example, as 105062500 + 900480064 = 10250^2 + 30008^2 .

It is a super-2 number, since 2×1005542564² = 2022231696031388192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005542564.

It is not an unprimeable number, because it can be changed into a prime (1005542561) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 743069 + ... + 744420.

It is an arithmetic number, because the mean of its divisors is an integer number (105859705).

Almost surely, 2^1005542564 is an apocalyptic number.

It is an amenable number.

1005542564 is a deficient number, since it is larger than the sum of its proper divisors (899932126).

1005542564 is a wasteful number, since it uses less digits than its factorization.

1005542564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487519 (or 1487504 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 1005542564 is about 31710.2911371056. The cubic root of 1005542564 is about 1001.8441184699.

Adding to 1005542564 its reverse (4652455001), we get a palindrome (5657997565).

The spelling of 1005542564 in words is "one billion, five million, five hundred forty-two thousand, five hundred sixty-four".