1005251643312 has 80 divisors (see below), whose sum is σ = 2968151097600. Its totient is φ = 287189081856.

The previous prime is 1005251643311. The next prime is 1005251643317. The reversal of 1005251643312 is 2133461525001.

1005251643312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1005251643311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3802998 + ... + 4058730.

It is an arithmetic number, because the mean of its divisors is an integer number (37101888720).

Almost surely, 2^{1005251643312} is an apocalyptic number.

1005251643312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005251643312 is an abundant number, since it is smaller than the sum of its proper divisors (1962899454288).

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

1005251643312 is a wasteful number, since it uses less digits than its factorization.

1005251643312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267450 (or 267444 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 1005251643312 in words is "one trillion, five billion, two hundred fifty-one million, six hundred forty-three thousand, three hundred twelve".