257610049 has 2 divisors, whose sum is σ = 257610050. Its totient is φ = 257610048.

The previous prime is 257610047. The next prime is 257610053. The reversal of 257610049 is 940016752.

257610049 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., 164352400 + 93257649 = 12820^2 + 9657^2 .

It is a cyclic number.

It is not a de Polignac number, because 257610049 - 2¹ = 257610047 is a prime.

Together with 257610047, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 257609996 and 257610023.

It is not a weakly prime, because it can be changed into another prime (257610043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128805024 + 128805025.

It is an arithmetic number, because the mean of its divisors is an integer number (128805025).

Almost surely, 2^257610049 is an apocalyptic number.

It is an amenable number.

257610049 is a deficient number, since it is larger than the sum of its proper divisors (1).

257610049 is an equidigital number, since it uses as much as digits as its factorization.

257610049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 257610049 is about 16050.2351696167. The cubic root of 257610049 is about 636.2887823018.

The spelling of 257610049 in words is "two hundred fifty-seven million, six hundred ten thousand, forty-nine".