257040675233745 has 64 divisors (see below), whose sum is σ = 453957480345600. Its totient is φ = 123393892108032.

The previous prime is 257040675233743. The next prime is 257040675233753. The reversal of 257040675233745 is 547332576040752.

It is not a de Polignac number, because 257040675233745 - 2¹ = 257040675233743 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257040675233743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20565717 + ... + 30610946.

It is an arithmetic number, because the mean of its divisors is an integer number (7093085630400).

Almost surely, 2^{257040675233745} is an apocalyptic number.

It is an amenable number.

257040675233745 is a deficient number, since it is larger than the sum of its proper divisors (196916805111855).

257040675233745 is a wasteful number, since it uses less digits than its factorization.

257040675233745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51177326.

The product of its (nonzero) digits is 148176000, while the sum is 60.

The spelling of 257040675233745 in words is "two hundred fifty-seven trillion, forty billion, six hundred seventy-five million, two hundred thirty-three thousand, seven hundred forty-five".