257271531311 has 16 divisors (see below), whose sum is σ = 262512998400. Its totient is φ = 252060929568.

The previous prime is 257271531301. The next prime is 257271531353. The reversal of 257271531311 is 113135172752.

It is a cyclic number.

It is not a de Polignac number, because 257271531311 - 2³⁴ = 240091662127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257271531301) 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, 21947510 + ... + 21959228.

It is an arithmetic number, because the mean of its divisors is an integer number (16407062400).

Almost surely, 2^257271531311 is an apocalyptic number.

257271531311 is a deficient number, since it is larger than the sum of its proper divisors (5241467089).

257271531311 is a wasteful number, since it uses less digits than its factorization.

257271531311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12998.

The product of its digits is 44100, while the sum is 38.

The spelling of 257271531311 in words is "two hundred fifty-seven billion, two hundred seventy-one million, five hundred thirty-one thousand, three hundred eleven".