1008020852 has 24 divisors (see below), whose sum is σ = 1795275720. Its totient is φ = 495106560.

The previous prime is 1008020837. The next prime is 1008020857. The reversal of 1008020852 is 2580208001.

1008020852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 182952676 + 825068176 = 13526^2 + 28724^2 .

It is a super-3 number, since 3×1008020852³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008020857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226424 + ... + 230832.

It is an arithmetic number, because the mean of its divisors is an integer number (74803155).

Almost surely, 2^1008020852 is an apocalyptic number.

It is an amenable number.

1008020852 is a deficient number, since it is larger than the sum of its proper divisors (787254868).

1008020852 is a wasteful number, since it uses less digits than its factorization.

1008020852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 1008020852 is about 31749.3441192098. The cubic root of 1008020852 is about 1002.6665007871. Note that the first 3 decimals are identical.

Adding to 1008020852 its reverse (2580208001), we get a palindrome (3588228853).

The spelling of 1008020852 in words is "one billion, eight million, twenty thousand, eight hundred fifty-two".