257135127320505 has 16 divisors (see below), whose sum is σ = 470189947100544. Its totient is φ = 117547486775040.

The previous prime is 257135127320479. The next prime is 257135127320521. The reversal of 257135127320505 is 505023721531752.

It is a happy number.

It is not a de Polignac number, because 257135127320505 - 2⁸ = 257135127320249 is a prime.

It is a super-3 number, since 3×257135127320505³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1224452987136 + ... + 1224452987345.

It is an arithmetic number, because the mean of its divisors is an integer number (29386871693784).

Almost surely, 2^{257135127320505} is an apocalyptic number.

It is an amenable number.

257135127320505 is a deficient number, since it is larger than the sum of its proper divisors (213054819780039).

257135127320505 is a wasteful number, since it uses less digits than its factorization.

257135127320505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448905974496.

The product of its (nonzero) digits is 2205000, while the sum is 48.

The spelling of 257135127320505 in words is "two hundred fifty-seven trillion, one hundred thirty-five billion, one hundred twenty-seven million, three hundred twenty thousand, five hundred five".