1005809524772 has 24 divisors (see below), whose sum is σ = 1895628852096. Its totient is φ = 464203924128.

The previous prime is 1005809524763. The next prime is 1005809524801. The reversal of 1005809524772 is 2774259085001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005809524772.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1281563 + ... + 1911549.

It is an arithmetic number, because the mean of its divisors is an integer number (78984535504).

Almost surely, 2^{1005809524772} is an apocalyptic number.

It is an amenable number.

1005809524772 is a deficient number, since it is larger than the sum of its proper divisors (889819327324).

1005809524772 is a wasteful number, since it uses less digits than its factorization.

1005809524772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660707 (or 660705 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 50.

The spelling of 1005809524772 in words is "one trillion, five billion, eight hundred nine million, five hundred twenty-four thousand, seven hundred seventy-two".