257057015075135 has 16 divisors (see below), whose sum is σ = 337790511083520. Its totient is φ = 186239717790240.

The previous prime is 257057015075111. The next prime is 257057015075137. The reversal of 257057015075135 is 531570510750752.

It is not a de Polignac number, because 257057015075135 - 2¹² = 257057015071039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257057015075137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8885468255 + ... + 8885497184.

It is an arithmetic number, because the mean of its divisors is an integer number (21111906942720).

Almost surely, 2^{257057015075135} is an apocalyptic number.

257057015075135 is a deficient number, since it is larger than the sum of its proper divisors (80733496008385).

257057015075135 is a wasteful number, since it uses less digits than its factorization.

257057015075135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17770965718.

The product of its (nonzero) digits is 6431250, while the sum is 53.

The spelling of 257057015075135 in words is "two hundred fifty-seven trillion, fifty-seven billion, fifteen million, seventy-five thousand, one hundred thirty-five".