257135682667 has 2 divisors, whose sum is σ = 257135682668. Its totient is φ = 257135682666.

The previous prime is 257135682607. The next prime is 257135682707. The reversal of 257135682667 is 766286531752.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257135682667 is a prime.

It is a super-2 number, since 2×257135682667² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257135682607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128567841333 + 128567841334.

It is an arithmetic number, because the mean of its divisors is an integer number (128567841334).

Almost surely, 2^257135682667 is an apocalyptic number.

257135682667 is a deficient number, since it is larger than the sum of its proper divisors (1).

257135682667 is an equidigital number, since it uses as much as digits as its factorization.

257135682667 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25401600, while the sum is 58.

The spelling of 257135682667 in words is "two hundred fifty-seven billion, one hundred thirty-five million, six hundred eighty-two thousand, six hundred sixty-seven".