257429761 has 2 divisors, whose sum is σ = 257429762. Its totient is φ = 257429760.

The previous prime is 257429749. The next prime is 257429771. The reversal of 257429761 is 167924752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202891536 + 54538225 = 14244^2 + 7385^2 .

It is a cyclic number.

It is not a de Polignac number, because 257429761 - 2⁷ = 257429633 is a prime.

It is not a weakly prime, because it can be changed into another prime (257429771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128714880 + 128714881.

It is an arithmetic number, because the mean of its divisors is an integer number (128714881).

Almost surely, 2^257429761 is an apocalyptic number.

It is an amenable number.

257429761 is a deficient number, since it is larger than the sum of its proper divisors (1).

257429761 is an equidigital number, since it uses as much as digits as its factorization.

257429761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 211680, while the sum is 43.

The square root of 257429761 is about 16044.6178203159. The cubic root of 257429761 is about 636.1403124162.

The spelling of 257429761 in words is "two hundred fifty-seven million, four hundred twenty-nine thousand, seven hundred sixty-one".