1005610085 has 8 divisors (see below), whose sum is σ = 1245659136. Its totient is φ = 778536720.

The previous prime is 1005610069. The next prime is 1005610127. The reversal of 1005610085 is 5800165001.

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

It is not a de Polignac number, because 1005610085 - 2⁴ = 1005610069 is a prime.

It is a super-2 number, since 2×1005610085² = 2022503286107414450, which contains 22 as substring.

It is a Duffinian number.

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, 3243749 + ... + 3244058.

It is an arithmetic number, because the mean of its divisors is an integer number (155707392).

Almost surely, 2^1005610085 is an apocalyptic number.

It is an amenable number.

1005610085 is a deficient number, since it is larger than the sum of its proper divisors (240049051).

1005610085 is an equidigital number, since it uses as much as digits as its factorization.

1005610085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6487843.

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 1005610085 is about 31711.3557736026. The cubic root of 1005610085 is about 1001.8665421859.

Adding to 1005610085 its reverse (5800165001), we get a palindrome (6805775086).

The spelling of 1005610085 in words is "one billion, five million, six hundred ten thousand, eighty-five".