1005530320 has 20 divisors (see below), whose sum is σ = 2337858180. Its totient is φ = 402212096.

The previous prime is 1005530303. The next prime is 1005530321. The reversal of 1005530320 is 230355001.

It can be written as a sum of positive squares in 2 ways, for example, as 604569744 + 400960576 = 24588^2 + 20024^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1005530320² = 2022182448878604800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005530321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6284485 + ... + 6284644.

It is an arithmetic number, because the mean of its divisors is an integer number (116892909).

Almost surely, 2^1005530320 is an apocalyptic number.

1005530320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005530320 is an abundant number, since it is smaller than the sum of its proper divisors (1332327860).

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

1005530320 is a wasteful number, since it uses less digits than its factorization.

1005530320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12569142 (or 12569136 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 1005530320 is about 31710.0980761649. The cubic root of 1005530320 is about 1001.8400521315.

Adding to 1005530320 its reverse (230355001), we get a palindrome (1235885321).

The spelling of 1005530320 in words is "one billion, five million, five hundred thirty thousand, three hundred twenty".