1021563564 has 72 divisors (see below), whose sum is σ = 2777499648. Its totient is φ = 291382560.

The previous prime is 1021563563. The next prime is 1021563577. The reversal of 1021563564 is 4653651201.

It is not an unprimeable number, because it can be changed into a prime (1021563563) 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 23 ways as a sum of consecutive naturals, for example, 482869 + ... + 484979.

It is an arithmetic number, because the mean of its divisors is an integer number (38576384).

Almost surely, 2^1021563564 is an apocalyptic number.

1021563564 is a gapful number since it is divisible by the number (14) 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 1021563564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388749824).

1021563564 is an abundant number, since it is smaller than the sum of its proper divisors (1755936084).

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

1021563564 is a wasteful number, since it uses less digits than its factorization.

1021563564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1021563564 is about 31961.9080156364. The cubic root of 1021563564 is about 1007.1367995899.

The spelling of 1021563564 in words is "one billion, twenty-one million, five hundred sixty-three thousand, five hundred sixty-four".