1005133752 has 64 divisors (see below), whose sum is σ = 3190905600. Its totient is φ = 287180640.

The previous prime is 1005133751. The next prime is 1005133769. The reversal of 1005133752 is 2573315001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005133751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330874 + ... + 333897.

It is an arithmetic number, because the mean of its divisors is an integer number (49857900).

Almost surely, 2^1005133752 is an apocalyptic number.

1005133752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005133752 is an abundant number, since it is smaller than the sum of its proper divisors (2185771848).

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

1005133752 is a wasteful number, since it uses less digits than its factorization.

1005133752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664793 (or 664783 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1005133752 is about 31703.8444356516. The cubic root of 1005133752 is about 1001.7083306113.

Adding to 1005133752 its reverse (2573315001), we get a palindrome (3578448753).

The spelling of 1005133752 in words is "one billion, five million, one hundred thirty-three thousand, seven hundred fifty-two".