257531761 has 2 divisors, whose sum is σ = 257531762. Its totient is φ = 257531760.

The previous prime is 257531741. The next prime is 257531767. The reversal of 257531761 is 167135752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239630400 + 17901361 = 15480^2 + 4231^2 .

It is a cyclic number.

It is not a de Polignac number, because 257531761 - 2¹³ = 257523569 is a prime.

It is a super-2 number, since 2×257531761² = 132645215847522242, which contains 22 as substring.

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 257531761.

It is not a weakly prime, because it can be changed into another prime (257531767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128765880 + 128765881.

It is an arithmetic number, because the mean of its divisors is an integer number (128765881).

Almost surely, 2^257531761 is an apocalyptic number.

It is an amenable number.

257531761 is a deficient number, since it is larger than the sum of its proper divisors (1).

257531761 is an equidigital number, since it uses as much as digits as its factorization.

257531761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 44100, while the sum is 37.

The square root of 257531761 is about 16047.7961415267. The cubic root of 257531761 is about 636.2243194656.

The spelling of 257531761 in words is "two hundred fifty-seven million, five hundred thirty-one thousand, seven hundred sixty-one".