257712461 has 2 divisors, whose sum is σ = 257712462. Its totient is φ = 257712460.

The previous prime is 257712451. The next prime is 257712479. The reversal of 257712461 is 164217752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 250588900 + 7123561 = 15830^2 + 2669^2 .

It is a cyclic number.

It is not a de Polignac number, because 257712461 - 2⁶ = 257712397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257712431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128856230 + 128856231.

It is an arithmetic number, because the mean of its divisors is an integer number (128856231).

Almost surely, 2^257712461 is an apocalyptic number.

It is an amenable number.

257712461 is a deficient number, since it is larger than the sum of its proper divisors (1).

257712461 is an equidigital number, since it uses as much as digits as its factorization.

257712461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23520, while the sum is 35.

The square root of 257712461 is about 16053.4252108390. The cubic root of 257712461 is about 636.3730892789.

The spelling of 257712461 in words is "two hundred fifty-seven million, seven hundred twelve thousand, four hundred sixty-one".