85345264973 has 2 divisors, whose sum is σ = 85345264974. Its totient is φ = 85345264972.

The previous prime is 85345264943. The next prime is 85345264999. The reversal of 85345264973 is 37946254358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83138802244 + 2206462729 = 288338^2 + 46973^2 .

It is a cyclic number.

It is not a de Polignac number, because 85345264973 - 2¹⁸ = 85345002829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85345264933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42672632486 + 42672632487.

It is an arithmetic number, because the mean of its divisors is an integer number (42672632487).

Almost surely, 2^85345264973 is an apocalyptic number.

It is an amenable number.

85345264973 is a deficient number, since it is larger than the sum of its proper divisors (1).

85345264973 is an equidigital number, since it uses as much as digits as its factorization.

85345264973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21772800, while the sum is 56.

The spelling of 85345264973 in words is "eighty-five billion, three hundred forty-five million, two hundred sixty-four thousand, nine hundred seventy-three".