1005289985259 has 16 divisors (see below), whose sum is σ = 1702078282240. Its totient is φ = 574451420040.

The previous prime is 1005289985233. The next prime is 1005289985279. The reversal of 1005289985259 is 9525899825001.

1005289985259 is a `hidden beast` number, since 1 + 0 + 0 + 528 + 9 + 9 + 8 + 52 + 59 = 666.

It is not a de Polignac number, because 1005289985259 - 2⁷ = 1005289985131 is a prime.

It is a super-3 number, since 3×1005289985259³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1005289985196 and 1005289985205.

It is not an unprimeable number, because it can be changed into a prime (1005289985279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2659497127 + ... + 2659497504.

It is an arithmetic number, because the mean of its divisors is an integer number (106379892640).

Almost surely, 2^{1005289985259} is an apocalyptic number.

1005289985259 is a deficient number, since it is larger than the sum of its proper divisors (696788296981).

1005289985259 is an equidigital number, since it uses as much as digits as its factorization.

1005289985259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318994647 (or 5318994641 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 63.

The spelling of 1005289985259 in words is "one trillion, five billion, two hundred eighty-nine million, nine hundred eighty-five thousand, two hundred fifty-nine".