1005052300 has 72 divisors (see below), whose sum is σ = 2497722080. Its totient is φ = 343872000.

The previous prime is 1005052297. The next prime is 1005052319. The reversal of 1005052300 is 32505001.

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, 419506 + ... + 421894.

Almost surely, 2^1005052300 is an apocalyptic number.

1005052300 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 1005052300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248861040).

1005052300 is an abundant number, since it is smaller than the sum of its proper divisors (1492669780).

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

1005052300 is a wasteful number, since it uses less digits than its factorization.

1005052300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 3004 counting only the distinct ones).

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

The square root of 1005052300 is about 31702.5598335529. The cubic root of 1005052300 is about 1001.6812717412.

Adding to 1005052300 its reverse (32505001), we get a palindrome (1037557301).

The spelling of 1005052300 in words is "one billion, five million, fifty-two thousand, three hundred".