1005325111044 has 30 divisors (see below), whose sum is σ = 2628118423854. Its totient is φ = 335108370240.

The previous prime is 1005325111033. The next prime is 1005325111067. The reversal of 1005325111044 is 4401115235001.

1005325111044 is a `hidden beast` number, since 10 + 0 + 5 + 32 + 511 + 104 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 972665392644 + 32659718400 = 986238^2 + 180720^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1005325110999 and 1005325111017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1551427317 + ... + 1551427964.

Almost surely, 2^{1005325111044} is an apocalyptic number.

It is an amenable number.

1005325111044 is an abundant number, since it is smaller than the sum of its proper divisors (1622793312810).

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

1005325111044 is a wasteful number, since it uses less digits than its factorization.

1005325111044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102855297 (or 3102855286 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1005325111044 in words is "one trillion, five billion, three hundred twenty-five million, one hundred eleven thousand, forty-four".