85305525257 has 2 divisors, whose sum is σ = 85305525258. Its totient is φ = 85305525256.

The previous prime is 85305525197. The next prime is 85305525259. The reversal of 85305525257 is 75252550358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84532073536 + 773451721 = 290744^2 + 27811^2 .

It is a cyclic number.

It is not a de Polignac number, because 85305525257 - 2¹⁶ = 85305459721 is a prime.

Together with 85305525259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85305525259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42652762628 + 42652762629.

It is an arithmetic number, because the mean of its divisors is an integer number (42652762629).

Almost surely, 2^85305525257 is an apocalyptic number.

It is an amenable number.

85305525257 is a deficient number, since it is larger than the sum of its proper divisors (1).

85305525257 is an equidigital number, since it uses as much as digits as its factorization.

85305525257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100000, while the sum is 47.

The spelling of 85305525257 in words is "eighty-five billion, three hundred five million, five hundred twenty-five thousand, two hundred fifty-seven".