1005205300 has 72 divisors (see below), whose sum is σ = 2388909600. Its totient is φ = 364099200.

The previous prime is 1005205297. The next prime is 1005205319. The reversal of 1005205300 is 35025001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303051 + ... + 306349.

It is an arithmetic number, because the mean of its divisors is an integer number (33179300).

Almost surely, 2^1005205300 is an apocalyptic number.

1005205300 is a gapful number since it is divisible by the number (10) 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 1005205300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194454800).

1005205300 is an abundant number, since it is smaller than the sum of its proper divisors (1383704300).

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

1005205300 is a wasteful number, since it uses less digits than its factorization.

1005205300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 1005205300 is about 31704.9727960773. The cubic root of 1005205300 is about 1001.7320981040.

The spelling of 1005205300 in words is "one billion, five million, two hundred five thousand, three hundred".