257573413 has 2 divisors, whose sum is σ = 257573414. Its totient is φ = 257573412.

The previous prime is 257573411. The next prime is 257573423. The reversal of 257573413 is 314375752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211033729 + 46539684 = 14527^2 + 6822^2 .

It is a cyclic number.

It is not a de Polignac number, because 257573413 - 2¹ = 257573411 is a prime.

Together with 257573411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257573411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128786706 + 128786707.

It is an arithmetic number, because the mean of its divisors is an integer number (128786707).

Almost surely, 2^257573413 is an apocalyptic number.

It is an amenable number.

257573413 is a deficient number, since it is larger than the sum of its proper divisors (1).

257573413 is an equidigital number, since it uses as much as digits as its factorization.

257573413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 88200, while the sum is 37.

The square root of 257573413 is about 16049.0938373480. The cubic root of 257573413 is about 636.2586176129.

The spelling of 257573413 in words is "two hundred fifty-seven million, five hundred seventy-three thousand, four hundred thirteen".