1005747385567 has 2 divisors, whose sum is σ = 1005747385568. Its totient is φ = 1005747385566.

The previous prime is 1005747385561. The next prime is 1005747385597. The reversal of 1005747385567 is 7655837475001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1005747385567 - 2²³ = 1005738996959 is a prime.

It is a super-3 number, since 3×1005747385567³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005747385561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502873692783 + 502873692784.

It is an arithmetic number, because the mean of its divisors is an integer number (502873692784).

Almost surely, 2^{1005747385567} is an apocalyptic number.

1005747385567 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005747385567 is an equidigital number, since it uses as much as digits as its factorization.

1005747385567 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24696000, while the sum is 58.

The spelling of 1005747385567 in words is "one trillion, five billion, seven hundred forty-seven million, three hundred eighty-five thousand, five hundred sixty-seven".