1005312312 has 24 divisors (see below), whose sum is σ = 2722721040. Its totient is φ = 335104080.

The previous prime is 1005312257. The next prime is 1005312317. The reversal of 1005312312 is 2132135001.

1005312312 is a `hidden beast` number, since 100 + 531 + 2 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005312317) 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 5 ways as a sum of consecutive naturals, for example, 6981264 + ... + 6981407.

It is an arithmetic number, because the mean of its divisors is an integer number (113446710).

Almost surely, 2^1005312312 is an apocalyptic number.

1005312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005312312 is an abundant number, since it is smaller than the sum of its proper divisors (1717408728).

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

1005312312 is a wasteful number, since it uses less digits than its factorization.

1005312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13962683 (or 13962676 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1005312312 is about 31706.6603728617. The cubic root of 1005312312 is about 1001.7676442594.

Adding to 1005312312 its reverse (2132135001), we get a palindrome (3137447313).

The spelling of 1005312312 in words is "one billion, five million, three hundred twelve thousand, three hundred twelve".