7585542455857 has 2 divisors, whose sum is σ = 7585542455858. Its totient is φ = 7585542455856.

The previous prime is 7585542455809. The next prime is 7585542455873.

7585542455857 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4356337049856 + 3229205406001 = 2087184^2 + 1796999^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 7585542455857 - 2²⁷ = 7585408238129 is a prime.

It is not a weakly prime, because it can be changed into another prime (7585542455357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3792771227928 + 3792771227929.

It is an arithmetic number, because the mean of its divisors is an integer number (3792771227929).

Almost surely, 2^{7585542455857} is an apocalyptic number.

It is an amenable number.

7585542455857 is a deficient number, since it is larger than the sum of its proper divisors (1).

7585542455857 is an equidigital number, since it uses as much as digits as its factorization.

7585542455857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1568000000, while the sum is 70.

The spelling of 7585542455857 in words is "seven trillion, five hundred eighty-five billion, five hundred forty-two million, four hundred fifty-five thousand, eight hundred fifty-seven".