257720211 has 48 divisors (see below), whose sum is σ = 445046784. Its totient is φ = 145986624.

The previous prime is 257720209. The next prime is 257720227. The reversal of 257720211 is 112027752.

It is not a de Polignac number, because 257720211 - 2¹ = 257720209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257720231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215431 + ... + 216623.

It is an arithmetic number, because the mean of its divisors is an integer number (9271808).

Almost surely, 2^257720211 is an apocalyptic number.

257720211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

257720211 is a deficient number, since it is larger than the sum of its proper divisors (187326573).

257720211 is a wasteful number, since it uses less digits than its factorization.

257720211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 257720211 is about 16053.6665905331. Note that the first 3 decimals coincide. The cubic root of 257720211 is about 636.3794682771.

Adding to 257720211 its reverse (112027752), we get a palindrome (369747963).

The spelling of 257720211 in words is "two hundred fifty-seven million, seven hundred twenty thousand, two hundred eleven".