257525041 has 2 divisors, whose sum is σ = 257525042. Its totient is φ = 257525040.

The previous prime is 257525033. The next prime is 257525071. The reversal of 257525041 is 140525752.

257525041 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., 252142641 + 5382400 = 15879^2 + 2320^2 .

It is a cyclic number.

It is not a de Polignac number, because 257525041 - 2³ = 257525033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257524994 and 257525012.

It is not a weakly prime, because it can be changed into another prime (257525011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128762520 + 128762521.

It is an arithmetic number, because the mean of its divisors is an integer number (128762521).

Almost surely, 2^257525041 is an apocalyptic number.

It is an amenable number.

257525041 is a deficient number, since it is larger than the sum of its proper divisors (1).

257525041 is an equidigital number, since it uses as much as digits as its factorization.

257525041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14000, while the sum is 31.

The square root of 257525041 is about 16047.5867656168. The cubic root of 257525041 is about 636.2187855661.

The spelling of 257525041 in words is "two hundred fifty-seven million, five hundred twenty-five thousand, forty-one".