1005330249 has 48 divisors (see below), whose sum is σ = 1823852160. Its totient is φ = 518388480.

The previous prime is 1005330247. The next prime is 1005330257. The reversal of 1005330249 is 9420335001.

1005330249 is a `hidden beast` number, since 100 + 533 + 0 + 24 + 9 = 666.

It is not a de Polignac number, because 1005330249 - 2¹ = 1005330247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005330247) 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, 89647 + ... + 100235.

It is an arithmetic number, because the mean of its divisors is an integer number (37996920).

Almost surely, 2^1005330249 is an apocalyptic number.

It is an amenable number.

1005330249 is a deficient number, since it is larger than the sum of its proper divisors (818521911).

1005330249 is a wasteful number, since it uses less digits than its factorization.

1005330249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10750 (or 10747 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1005330249 is about 31706.9432301507. The cubic root of 1005330249 is about 1001.7736021424.

The spelling of 1005330249 in words is "one billion, five million, three hundred thirty thousand, two hundred forty-nine".