135516257 has 2 divisors, whose sum is σ = 135516258. Its totient is φ = 135516256.

The previous prime is 135516203. The next prime is 135516259. The reversal of 135516257 is 752615531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102900736 + 32615521 = 10144^2 + 5711^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-135516257 is a prime.

It is a super-2 number, since 2×135516257² = 36729311822580098, which contains 22 as substring.

Together with 135516259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (135516259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67758128 + 67758129.

It is an arithmetic number, because the mean of its divisors is an integer number (67758129).

Almost surely, 2^135516257 is an apocalyptic number.

It is an amenable number.

135516257 is a deficient number, since it is larger than the sum of its proper divisors (1).

135516257 is an equidigital number, since it uses as much as digits as its factorization.

135516257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31500, while the sum is 35.

The square root of 135516257 is about 11641.1450038216. The cubic root of 135516257 is about 513.6458685516.

The spelling of 135516257 in words is "one hundred thirty-five million, five hundred sixteen thousand, two hundred fifty-seven".