257017741 has 2 divisors, whose sum is σ = 257017742. Its totient is φ = 257017740.

The previous prime is 257017729. The next prime is 257017753. The reversal of 257017741 is 147710752.

It is a balanced prime because it is at equal distance from previous prime (257017729) and next prime (257017753).

It can be written as a sum of positive squares in only one way, i.e., 218005225 + 39012516 = 14765^2 + 6246^2 .

It is a cyclic number.

It is not a de Polignac number, because 257017741 - 2⁷ = 257017613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257017697 and 257017706.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257017721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128508870 + 128508871.

It is an arithmetic number, because the mean of its divisors is an integer number (128508871).

Almost surely, 2^257017741 is an apocalyptic number.

It is an amenable number.

257017741 is a deficient number, since it is larger than the sum of its proper divisors (1).

257017741 is an equidigital number, since it uses as much as digits as its factorization.

257017741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13720, while the sum is 34.

The square root of 257017741 is about 16031.7728589199. The cubic root of 257017741 is about 635.8007473145.

The spelling of 257017741 in words is "two hundred fifty-seven million, seventeen thousand, seven hundred forty-one".