1001858468561 has 2 divisors, whose sum is σ = 1001858468562. Its totient is φ = 1001858468560.

The previous prime is 1001858468543. The next prime is 1001858468621. The reversal of 1001858468561 is 1658648581001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 717002497600 + 284855970961 = 846760^2 + 533719^2 .

It is an emirp because it is prime and its reverse (1658648581001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001858468561 - 2¹⁸ = 1001858206417 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001858468461) by changing a digit.

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 as a sum of consecutive naturals, namely, 500929234280 + 500929234281.

It is an arithmetic number, because the mean of its divisors is an integer number (500929234281).

Almost surely, 2^{1001858468561} is an apocalyptic number.

It is an amenable number.

1001858468561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001858468561 is an equidigital number, since it uses as much as digits as its factorization.

1001858468561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1843200, while the sum is 53.

The spelling of 1001858468561 in words is "one trillion, one billion, eight hundred fifty-eight million, four hundred sixty-eight thousand, five hundred sixty-one".