1005300000 has 216 divisors, whose sum is σ = 3576497652. Its totient is φ = 267840000.

The previous prime is 1005299983. The next prime is 1005300001. The reversal of 1005300000 is 35001.

It can be written as a sum of positive squares in 6 ways, for example, as 359936784 + 645363216 = 18972^2 + 25404^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1005300001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 899442 + ... + 900558.

Almost surely, 2^1005300000 is an apocalyptic number.

1005300000 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 1005300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788248826).

1005300000 is an abundant number, since it is smaller than the sum of its proper divisors (2571197652).

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

1005300000 is an equidigital number, since it uses as much as digits as its factorization.

1005300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 1005300000 is about 31706.4662174768. The cubic root of 1005300000 is about 1001.7635547131.

Adding to 1005300000 its reverse (35001), we get a palindrome (1005335001).

The spelling of 1005300000 in words is "one billion, five million, three hundred thousand".