257209228311 has 32 divisors (see below), whose sum is σ = 404624867328. Its totient is φ = 142220106720.

The previous prime is 257209228301. The next prime is 257209228349. The reversal of 257209228311 is 113822902752.

It is not a de Polignac number, because 257209228311 - 2⁵ = 257209228279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257209228301) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8749740 + ... + 8779086.

It is an arithmetic number, because the mean of its divisors is an integer number (12644527104).

Almost surely, 2^257209228311 is an apocalyptic number.

257209228311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

257209228311 is a deficient number, since it is larger than the sum of its proper divisors (147415639017).

257209228311 is a wasteful number, since it uses less digits than its factorization.

257209228311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42851.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 257209228311 in words is "two hundred fifty-seven billion, two hundred nine million, two hundred twenty-eight thousand, three hundred eleven".