257073253 has 2 divisors, whose sum is σ = 257073254. Its totient is φ = 257073252.

The previous prime is 257073251. The next prime is 257073281. The reversal of 257073253 is 352370752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205549569 + 51523684 = 14337^2 + 7178^2 .

It is a cyclic number.

It is not a de Polignac number, because 257073253 - 2¹ = 257073251 is a prime.

Together with 257073251, 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 (257073251) 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, 128536626 + 128536627.

It is an arithmetic number, because the mean of its divisors is an integer number (128536627).

Almost surely, 2^257073253 is an apocalyptic number.

It is an amenable number.

257073253 is a deficient number, since it is larger than the sum of its proper divisors (1).

257073253 is an equidigital number, since it uses as much as digits as its factorization.

257073253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 34.

The square root of 257073253 is about 16033.5040773999. The cubic root of 257073253 is about 635.8465185133.

The spelling of 257073253 in words is "two hundred fifty-seven million, seventy-three thousand, two hundred fifty-three".