1005133010 has 32 divisors (see below), whose sum is σ = 2081417472. Its totient is φ = 342331200.

The previous prime is 1005132979. The next prime is 1005133033. The reversal of 1005133010 is 103315001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36977 + ... + 58116.

It is an arithmetic number, because the mean of its divisors is an integer number (65044296).

Almost surely, 2^1005133010 is an apocalyptic number.

1005133010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005133010 is an abundant number, since it is smaller than the sum of its proper divisors (1076284462).

1005133010 is a wasteful number, since it uses less digits than its factorization.

1005133010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95258.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 1005133010 is about 31703.8327335986. The cubic root of 1005133010 is about 1001.7080841208.

Adding to 1005133010 its reverse (103315001), we get a palindrome (1108448011).

The spelling of 1005133010 in words is "one billion, five million, one hundred thirty-three thousand, ten".