1005873407969 has 2 divisors, whose sum is σ = 1005873407970. Its totient is φ = 1005873407968.

The previous prime is 1005873407951. The next prime is 1005873408011. The reversal of 1005873407969 is 9697043785001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 940638118225 + 65235289744 = 969865^2 + 255412^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005873407969 - 2⁸ = 1005873407713 is a prime.

It is a super-2 number, since 2×1005873407969² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005873437969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502936703984 + 502936703985.

It is an arithmetic number, because the mean of its divisors is an integer number (502936703985).

Almost surely, 2^{1005873407969} is an apocalyptic number.

It is an amenable number.

1005873407969 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005873407969 is an equidigital number, since it uses as much as digits as its factorization.

1005873407969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11430720, while the sum is 59.

The spelling of 1005873407969 in words is "one trillion, five billion, eight hundred seventy-three million, four hundred seven thousand, nine hundred sixty-nine".