257135682707 has 2 divisors, whose sum is σ = 257135682708. Its totient is φ = 257135682706.

The previous prime is 257135682667. The next prime is 257135682763. The reversal of 257135682707 is 707286531752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257135682707 - 2¹⁰ = 257135681683 is a prime.

It is a super-2 number, since 2×257135682707² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128567841353 + 128567841354.

It is an arithmetic number, because the mean of its divisors is an integer number (128567841354).

Almost surely, 2^257135682707 is an apocalyptic number.

257135682707 is a deficient number, since it is larger than the sum of its proper divisors (1).

257135682707 is an equidigital number, since it uses as much as digits as its factorization.

257135682707 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4939200, while the sum is 53.

The spelling of 257135682707 in words is "two hundred fifty-seven billion, one hundred thirty-five million, six hundred eighty-two thousand, seven hundred seven".