985005501001 has 2 divisors, whose sum is σ = 985005501002. Its totient is φ = 985005501000.

The previous prime is 985005500959. The next prime is 985005501043. The reversal of 985005501001 is 100105500589.

It is a balanced prime because it is at equal distance from previous prime (985005500959) and next prime (985005501043).

It can be written as a sum of positive squares in only one way, i.e., 984657305401 + 348195600 = 992299^2 + 18660^2 .

It is an emirp because it is prime and its reverse (100105500589) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 985005501001 - 2⁷ = 985005500873 is a prime.

It is not a weakly prime, because it can be changed into another prime (985005502001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 492502750500 + 492502750501.

It is an arithmetic number, because the mean of its divisors is an integer number (492502750501).

Almost surely, 2^985005501001 is an apocalyptic number.

It is an amenable number.

985005501001 is a deficient number, since it is larger than the sum of its proper divisors (1).

985005501001 is an equidigital number, since it uses as much as digits as its factorization.

985005501001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 34.

The spelling of 985005501001 in words is "nine hundred eighty-five billion, five million, five hundred one thousand, one".