1005133330 has 96 divisors (see below), whose sum is σ = 2029147200. Its totient is φ = 357891072.

The previous prime is 1005133273. The next prime is 1005133333. The reversal of 1005133330 is 333315001.

It is a super-2 number, since 2×1005133330² = 2020586022153777800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005133298 and 1005133307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005133333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5615181 + ... + 5615359.

It is an arithmetic number, because the mean of its divisors is an integer number (21136950).

Almost surely, 2^1005133330 is an apocalyptic number.

1005133330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005133330 is an abundant number, since it is smaller than the sum of its proper divisors (1024013870).

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

1005133330 is a wasteful number, since it uses less digits than its factorization.

1005133330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 19.

The square root of 1005133330 is about 31703.8377803067. The cubic root of 1005133330 is about 1001.7081904240.

Adding to 1005133330 its reverse (333315001), we get a palindrome (1338448331).

The spelling of 1005133330 in words is "one billion, five million, one hundred thirty-three thousand, three hundred thirty".