257473441 has 2 divisors, whose sum is σ = 257473442. Its totient is φ = 257473440.

The previous prime is 257473393. The next prime is 257473451. The reversal of 257473441 is 144374752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252651025 + 4822416 = 15895^2 + 2196^2 .

It is a cyclic number.

It is not a de Polignac number, because 257473441 - 2¹³ = 257465249 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257473441.

It is not a weakly prime, because it can be changed into another prime (257473451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128736720 + 128736721.

It is an arithmetic number, because the mean of its divisors is an integer number (128736721).

Almost surely, 2^257473441 is an apocalyptic number.

It is an amenable number.

257473441 is a deficient number, since it is larger than the sum of its proper divisors (1).

257473441 is an equidigital number, since it uses as much as digits as its factorization.

257473441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 94080, while the sum is 37.

The square root of 257473441 is about 16045.9789667069. The cubic root of 257473441 is about 636.1762899159.

The spelling of 257473441 in words is "two hundred fifty-seven million, four hundred seventy-three thousand, four hundred forty-one".