1005765312 has 56 divisors (see below), whose sum is σ = 2711324016. Its totient is φ = 328926208.

The previous prime is 1005765307. The next prime is 1005765329. The reversal of 1005765312 is 2135675001.

1005765312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1005765312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39243 + ... + 59594.

Almost surely, 2^1005765312 is an apocalyptic number.

1005765312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005765312 is an abundant number, since it is smaller than the sum of its proper divisors (1705558704).

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

1005765312 is an equidigital number, since it uses as much as digits as its factorization.

1005765312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98905 (or 98895 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 1005765312 is about 31713.8031777963. The cubic root of 1005765312 is about 1001.9180892480.

The spelling of 1005765312 in words is "one billion, five million, seven hundred sixty-five thousand, three hundred twelve".