85577202517 has 2 divisors, whose sum is σ = 85577202518. Its totient is φ = 85577202516.

The previous prime is 85577202463. The next prime is 85577202533. The reversal of 85577202517 is 71520277558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53819824081 + 31757378436 = 231991^2 + 178206^2 .

It is a cyclic number.

It is not a de Polignac number, because 85577202517 - 2¹⁵ = 85577169749 is a prime.

It is a super-2 number, since 2×85577202517² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85577202817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42788601258 + 42788601259.

It is an arithmetic number, because the mean of its divisors is an integer number (42788601259).

Almost surely, 2^85577202517 is an apocalyptic number.

It is an amenable number.

85577202517 is a deficient number, since it is larger than the sum of its proper divisors (1).

85577202517 is an equidigital number, since it uses as much as digits as its factorization.

85577202517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1372000, while the sum is 49.

The spelling of 85577202517 in words is "eighty-five billion, five hundred seventy-seven million, two hundred two thousand, five hundred seventeen".