85755587880013 has 2 divisors, whose sum is σ = 85755587880014. Its totient is φ = 85755587880012.

The previous prime is 85755587879993. The next prime is 85755587880097. The reversal of 85755587880013 is 31008878555758.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85741340354244 + 14247525769 = 9259662^2 + 119363^2 .

It is a cyclic number.

It is not a de Polignac number, because 85755587880013 - 2²⁹ = 85755051009101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85755587880713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42877793940006 + 42877793940007.

It is an arithmetic number, because the mean of its divisors is an integer number (42877793940007).

Almost surely, 2^{85755587880013} is an apocalyptic number.

It is an amenable number.

85755587880013 is a deficient number, since it is larger than the sum of its proper divisors (1).

85755587880013 is an equidigital number, since it uses as much as digits as its factorization.

85755587880013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 376320000, while the sum is 70.

The spelling of 85755587880013 in words is "eighty-five trillion, seven hundred fifty-five billion, five hundred eighty-seven million, eight hundred eighty thousand, thirteen".