257025029 has 2 divisors, whose sum is σ = 257025030. Its totient is φ = 257025028.

The previous prime is 257025019. The next prime is 257025031. The reversal of 257025029 is 920520752.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201924100 + 55100929 = 14210^2 + 7423^2 .

It is a cyclic number.

It is not a de Polignac number, because 257025029 - 2⁸ = 257024773 is a prime.

Together with 257025031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 257024986 and 257025004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257025019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128512514 + 128512515.

It is an arithmetic number, because the mean of its divisors is an integer number (128512515).

Almost surely, 2^257025029 is an apocalyptic number.

It is an amenable number.

257025029 is a deficient number, since it is larger than the sum of its proper divisors (1).

257025029 is an equidigital number, since it uses as much as digits as its factorization.

257025029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 257025029 is about 16032.0001559381. Note that the first 3 decimals coincide. The cubic root of 257025029 is about 635.8067568504.

The spelling of 257025029 in words is "two hundred fifty-seven million, twenty-five thousand, twenty-nine".