257663129 has 2 divisors, whose sum is σ = 257663130. Its totient is φ = 257663128.

The previous prime is 257663111. The next prime is 257663149. The reversal of 257663129 is 921366752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214563904 + 43099225 = 14648^2 + 6565^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257663129 is a prime.

It is not a weakly prime, because it can be changed into another prime (257663149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128831564 + 128831565.

It is an arithmetic number, because the mean of its divisors is an integer number (128831565).

Almost surely, 2^257663129 is an apocalyptic number.

It is an amenable number.

257663129 is a deficient number, since it is larger than the sum of its proper divisors (1).

257663129 is an equidigital number, since it uses as much as digits as its factorization.

257663129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 136080, while the sum is 41.

The square root of 257663129 is about 16051.8886427735. Note that the first 3 decimals coincide. The cubic root of 257663129 is about 636.3324812818.

The spelling of 257663129 in words is "two hundred fifty-seven million, six hundred sixty-three thousand, one hundred twenty-nine".