1005353320 has 32 divisors (see below), whose sum is σ = 2269791720. Its totient is φ = 400764160.

The previous prime is 1005353317. The next prime is 1005353339. The reversal of 1005353320 is 233535001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1001216164 + 4137156 = 31642^2 + 2034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1005353291 and 1005353300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31171 + ... + 54610.

Almost surely, 2^1005353320 is an apocalyptic number.

1005353320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005353320 is an abundant number, since it is smaller than the sum of its proper divisors (1264438400).

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

1005353320 is a wasteful number, since it uses less digits than its factorization.

1005353320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86085 (or 86081 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 1005353320 is about 31707.3070442761. The cubic root of 1005353320 is about 1001.7812652103.

Adding to 1005353320 its reverse (233535001), we get a palindrome (1238888321).

The spelling of 1005353320 in words is "one billion, five million, three hundred fifty-three thousand, three hundred twenty".