257006331005 has 8 divisors (see below), whose sum is σ = 309973119192. Its totient is φ = 204561383488.

The previous prime is 257006330927. The next prime is 257006331083. The reversal of 257006331005 is 500133600752.

It is an interprime number because it is at equal distance from previous prime (257006330927) and next prime (257006331083).

It can be written as a sum of positive squares in 4 ways, for example, as 39180639481 + 217825691524 = 197941^2 + 466718^2 .

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-257006331005 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 130459082 + ... + 130461051.

It is an arithmetic number, because the mean of its divisors is an integer number (38746639899).

Almost surely, 2^257006331005 is an apocalyptic number.

It is an amenable number.

257006331005 is a deficient number, since it is larger than the sum of its proper divisors (52966788187).

257006331005 is a wasteful number, since it uses less digits than its factorization.

257006331005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260920335.

The product of its (nonzero) digits is 18900, while the sum is 32.

Adding to 257006331005 its reverse (500133600752), we get a palindrome (757139931757).

The spelling of 257006331005 in words is "two hundred fifty-seven billion, six million, three hundred thirty-one thousand, five".