85582407157757 has 2 divisors, whose sum is σ = 85582407157758. Its totient is φ = 85582407157756.

The previous prime is 85582407157733. The next prime is 85582407157777. The reversal of 85582407157757 is 75775170428558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85346076030436 + 236331127321 = 9238294^2 + 486139^2 .

It is a cyclic number.

It is not a de Polignac number, because 85582407157757 - 2¹⁰ = 85582407156733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85582407157777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42791203578878 + 42791203578879.

It is an arithmetic number, because the mean of its divisors is an integer number (42791203578879).

Almost surely, 2^{85582407157757} is an apocalyptic number.

It is an amenable number.

85582407157757 is a deficient number, since it is larger than the sum of its proper divisors (1).

85582407157757 is an equidigital number, since it uses as much as digits as its factorization.

85582407157757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768320000, while the sum is 71.

The spelling of 85582407157757 in words is "eighty-five trillion, five hundred eighty-two billion, four hundred seven million, one hundred fifty-seven thousand, seven hundred fifty-seven".