1010002085 has 8 divisors (see below), whose sum is σ = 1228605720. Its totient is φ = 796932864.

The previous prime is 1010002073. The next prime is 1010002093. The reversal of 1010002085 is 5802000101.

1010002085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 351412516 + 658589569 = 18746^2 + 25663^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010002085 - 2⁴ = 1010002069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1383200 + ... + 1383929.

It is an arithmetic number, because the mean of its divisors is an integer number (153575715).

Almost surely, 2^1010002085 is an apocalyptic number.

It is an amenable number.

1010002085 is a deficient number, since it is larger than the sum of its proper divisors (218603635).

1010002085 is an equidigital number, since it uses as much as digits as its factorization.

1010002085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767207.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1010002085 is about 31780.5299672614. The cubic root of 1010002085 is about 1003.3229739466.

Adding to 1010002085 its reverse (5802000101), we get a palindrome (6812002186).

The spelling of 1010002085 in words is "one billion, ten million, two thousand, eighty-five".