1005335445552 has 40 divisors (see below), whose sum is σ = 2599791370560. Its totient is φ = 334766679360.

The previous prime is 1005335445493. The next prime is 1005335445559. The reversal of 1005335445552 is 2555445335001.

It is not an unprimeable number, because it can be changed into a prime (1005335445559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10738402 + ... + 10831617.

It is an arithmetic number, because the mean of its divisors is an integer number (64994784264).

Almost surely, 2^{1005335445552} is an apocalyptic number.

1005335445552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005335445552 is an abundant number, since it is smaller than the sum of its proper divisors (1594455925008).

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

1005335445552 is a wasteful number, since it uses less digits than its factorization.

1005335445552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21571001 (or 21570995 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 42.

The spelling of 1005335445552 in words is "one trillion, five billion, three hundred thirty-five million, four hundred forty-five thousand, five hundred fifty-two".