1005540281536 has 28 divisors (see below), whose sum is σ = 2280421710928. Its totient is φ = 430945834752.

The previous prime is 1005540281507. The next prime is 1005540281539. The reversal of 1005540281536 is 6351820455001.

1005540281536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×1005540281536² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005540281539) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1122254331 + ... + 1122255226.

Almost surely, 2^{1005540281536} is an apocalyptic number.

1005540281536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1005540281536 is an abundant number, since it is smaller than the sum of its proper divisors (1274881429392).

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

1005540281536 is an equidigital number, since it uses as much as digits as its factorization.

1005540281536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244509576 (or 2244509566 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 1005540281536 in words is "one trillion, five billion, five hundred forty million, two hundred eighty-one thousand, five hundred thirty-six".