135585257 has 2 divisors, whose sum is σ = 135585258. Its totient is φ = 135585256.

The previous prime is 135585239. The next prime is 135585269. The reversal of 135585257 is 752585531.

135585257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117852736 + 17732521 = 10856^2 + 4211^2 .

It is a cyclic number.

It is not a de Polignac number, because 135585257 - 2⁸ = 135585001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (135585277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67792628 + 67792629.

It is an arithmetic number, because the mean of its divisors is an integer number (67792629).

Almost surely, 2^135585257 is an apocalyptic number.

It is an amenable number.

135585257 is a deficient number, since it is larger than the sum of its proper divisors (1).

135585257 is an equidigital number, since it uses as much as digits as its factorization.

135585257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 210000, while the sum is 41.

The square root of 135585257 is about 11644.1082526744. The cubic root of 135585257 is about 513.7330304224.

The spelling of 135585257 in words is "one hundred thirty-five million, five hundred eighty-five thousand, two hundred fifty-seven".