257461129 has 2 divisors, whose sum is σ = 257461130. Its totient is φ = 257461128.

The previous prime is 257461117. The next prime is 257461147. The reversal of 257461129 is 921164752.

257461129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251285904 + 6175225 = 15852^2 + 2485^2 .

It is a cyclic number.

It is not a de Polignac number, because 257461129 - 2⁹ = 257460617 is a prime.

It is not a weakly prime, because it can be changed into another prime (257461109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128730564 + 128730565.

It is an arithmetic number, because the mean of its divisors is an integer number (128730565).

Almost surely, 2^257461129 is an apocalyptic number.

It is an amenable number.

257461129 is a deficient number, since it is larger than the sum of its proper divisors (1).

257461129 is an equidigital number, since it uses as much as digits as its factorization.

257461129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30240, while the sum is 37.

The square root of 257461129 is about 16045.5953146027. The cubic root of 257461129 is about 636.1661494171.

The spelling of 257461129 in words is "two hundred fifty-seven million, four hundred sixty-one thousand, one hundred twenty-nine".