1066581717731 has 12 divisors (see below), whose sum is σ = 1135866470688. Its totient is φ = 1001312940672.

The previous prime is 1066581717713. The next prime is 1066581717763. The reversal of 1066581717731 is 1377171856601.

It is not a de Polignac number, because 1066581717731 - 2³⁸ = 791703810787 is a prime.

It is a super-2 number, since 2×1066581717731² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1066581717431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4533371 + ... + 4762836.

It is an arithmetic number, because the mean of its divisors is an integer number (94655539224).

Almost surely, 2^{1066581717731} is an apocalyptic number.

1066581717731 is a deficient number, since it is larger than the sum of its proper divisors (69284752957).

1066581717731 is an equidigital number, since it uses as much as digits as its factorization.

1066581717731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9296638 (or 9296621 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 53.

The spelling of 1066581717731 in words is "one trillion, sixty-six billion, five hundred eighty-one million, seven hundred seventeen thousand, seven hundred thirty-one".