257141029 has 2 divisors, whose sum is σ = 257141030. Its totient is φ = 257141028.

The previous prime is 257141021. The next prime is 257141111. The reversal of 257141029 is 920141752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 237868929 + 19272100 = 15423^2 + 4390^2 .

It is a cyclic number.

It is not a de Polignac number, because 257141029 - 2³ = 257141021 is a prime.

It is a super-2 number, since 2×257141029² = 132243017590357682, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257141021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128570514 + 128570515.

It is an arithmetic number, because the mean of its divisors is an integer number (128570515).

Almost surely, 2^257141029 is an apocalyptic number.

It is an amenable number.

257141029 is a deficient number, since it is larger than the sum of its proper divisors (1).

257141029 is an equidigital number, since it uses as much as digits as its factorization.

257141029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 257141029 is about 16035.6175122756. The cubic root of 257141029 is about 635.9023927909.

The spelling of 257141029 in words is "two hundred fifty-seven million, one hundred forty-one thousand, twenty-nine".