1008205552 has 40 divisors (see below), whose sum is σ = 2045074464. Its totient is φ = 480589824.

The previous prime is 1008205469. The next prime is 1008205577. The reversal of 1008205552 is 2555028001.

It is a self number, because there is not a number n which added to its sum of digits gives 1008205552.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 110808 + ... + 119560.

Almost surely, 2^1008205552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008205552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022537232).

1008205552 is an abundant number, since it is smaller than the sum of its proper divisors (1036868912).

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

1008205552 is a wasteful number, since it uses less digits than its factorization.

1008205552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9097 (or 9091 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 1008205552 is about 31752.2527074852. The cubic root of 1008205552 is about 1002.7277366873.

The spelling of 1008205552 in words is "one billion, eight million, two hundred five thousand, five hundred fifty-two".