1085175261 has 12 divisors (see below), whose sum is σ = 1567808892. Its totient is φ = 723296256.

The previous prime is 1085175239. The next prime is 1085175269. The reversal of 1085175261 is 1625715801.

It can be written as a sum of positive squares in 2 ways, for example, as 665949636 + 419225625 = 25806^2 + 20475^2 .

It is not a de Polignac number, because 1085175261 - 2¹⁵ = 1085142493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085175269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46045 + ... + 65501.

It is an arithmetic number, because the mean of its divisors is an integer number (130650741).

Almost surely, 2^1085175261 is an apocalyptic number.

It is an amenable number.

1085175261 is a deficient number, since it is larger than the sum of its proper divisors (482633631).

1085175261 is a wasteful number, since it uses less digits than its factorization.

1085175261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25660 (or 25657 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 1085175261 is about 32941.9984366462. The cubic root of 1085175261 is about 1027.6217668751.

The spelling of 1085175261 in words is "one billion, eighty-five million, one hundred seventy-five thousand, two hundred sixty-one".