257434501 has 2 divisors, whose sum is σ = 257434502. Its totient is φ = 257434500.

The previous prime is 257434487. The next prime is 257434517. The reversal of 257434501 is 105434752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229068225 + 28366276 = 15135^2 + 5326^2 .

It is a cyclic number.

It is not a de Polignac number, because 257434501 - 2¹⁵ = 257401733 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257434901) 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, 128717250 + 128717251.

It is an arithmetic number, because the mean of its divisors is an integer number (128717251).

Almost surely, 2^257434501 is an apocalyptic number.

It is an amenable number.

257434501 is a deficient number, since it is larger than the sum of its proper divisors (1).

257434501 is an equidigital number, since it uses as much as digits as its factorization.

257434501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 257434501 is about 16044.7655327213. The cubic root of 257434501 is about 636.1442167648.

The spelling of 257434501 in words is "two hundred fifty-seven million, four hundred thirty-four thousand, five hundred one".