85311310561 has 3 divisors (see below), whose sum is σ = 85311602643. Its totient is φ = 85311018480.

The previous prime is 85311310507. The next prime is 85311310577. The reversal of 85311310561 is 16501311358.

The square root of 85311310561 is 292081.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 2919348961 + 82391961600 = 54031^2 + 287040^2 .

It is not a de Polignac number, because 85311310561 - 2⁷ = 85311310433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85311310501) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 146041 + ... + 438121.

It is an arithmetic number, because the mean of its divisors is an integer number (28437200881).

Almost surely, 2^85311310561 is an apocalyptic number.

85311310561 is the 292081-st square number.

85311310561 is the 146041-st centered octagonal number.

It is an amenable number.

85311310561 is a deficient number, since it is larger than the sum of its proper divisors (292082).

85311310561 is an frugal number, since it uses more digits than its factorization.

85311310561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584162 (or 292081 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 85311310561 in words is "eighty-five billion, three hundred eleven million, three hundred ten thousand, five hundred sixty-one".