85753440225577 has 2 divisors, whose sum is σ = 85753440225578. Its totient is φ = 85753440225576.

The previous prime is 85753440225533. The next prime is 85753440225611. The reversal of 85753440225577 is 77552204435758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55019766135961 + 30733674089616 = 7417531^2 + 5543796^2 .

It is a cyclic number.

It is not a de Polignac number, because 85753440225577 - 2¹⁵ = 85753440192809 is a prime.

It is a super-3 number, since 3×85753440225577³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (85753440205577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42876720112788 + 42876720112789.

It is an arithmetic number, because the mean of its divisors is an integer number (42876720112789).

Almost surely, 2^{85753440225577} is an apocalyptic number.

It is an amenable number.

85753440225577 is a deficient number, since it is larger than the sum of its proper divisors (1).

85753440225577 is an equidigital number, since it uses as much as digits as its factorization.

85753440225577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 329280000, while the sum is 64.

The spelling of 85753440225577 in words is "eighty-five trillion, seven hundred fifty-three billion, four hundred forty million, two hundred twenty-five thousand, five hundred seventy-seven".