257135682673 has 8 divisors (see below), whose sum is σ = 257529242880. Its totient is φ = 256742233440.

The previous prime is 257135682667. The next prime is 257135682707. The reversal of 257135682673 is 376286531752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257135682673 is a prime.

It is a super-2 number, since 2×257135682673² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257135682773) 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 in 7 ways as a sum of consecutive naturals, for example, 5415048 + ... + 5462326.

It is an arithmetic number, because the mean of its divisors is an integer number (32191155360).

Almost surely, 2^257135682673 is an apocalyptic number.

It is an amenable number.

257135682673 is a deficient number, since it is larger than the sum of its proper divisors (393560207).

257135682673 is an equidigital number, since it uses as much as digits as its factorization.

257135682673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55487.

The product of its digits is 12700800, while the sum is 55.

The spelling of 257135682673 in words is "two hundred fifty-seven billion, one hundred thirty-five million, six hundred eighty-two thousand, six hundred seventy-three".