1005250233 has 32 divisors (see below), whose sum is σ = 1534274560. Its totient is φ = 580322880.

The previous prime is 1005250219. The next prime is 1005250247. The reversal of 1005250233 is 3320525001.

It is an interprime number because it is at equal distance from previous prime (1005250219) and next prime (1005250247).

It is not a de Polignac number, because 1005250233 - 2¹⁰ = 1005249209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005250033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69738 + ... + 82908.

It is an arithmetic number, because the mean of its divisors is an integer number (47946080).

Almost surely, 2^1005250233 is an apocalyptic number.

1005250233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1005250233 is a deficient number, since it is larger than the sum of its proper divisors (529024327).

1005250233 is a wasteful number, since it uses less digits than its factorization.

1005250233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13309.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 1005250233 is about 31705.6813993959. The cubic root of 1005250233 is about 1001.7470237972.

Adding to 1005250233 its reverse (3320525001), we get a palindrome (4325775234).

The spelling of 1005250233 in words is "one billion, five million, two hundred fifty thousand, two hundred thirty-three".