257980493 has 2 divisors, whose sum is σ = 257980494. Its totient is φ = 257980492.

The previous prime is 257980483. The next prime is 257980507. The reversal of 257980493 is 394089752.

It is a happy number.

257980493 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., 214710409 + 43270084 = 14653^2 + 6578^2 .

It is a cyclic number.

It is not a de Polignac number, because 257980493 - 2⁴ = 257980477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257980483) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128990246 + 128990247.

It is an arithmetic number, because the mean of its divisors is an integer number (128990247).

Almost surely, 2^257980493 is an apocalyptic number.

It is an amenable number.

257980493 is a deficient number, since it is larger than the sum of its proper divisors (1).

257980493 is an equidigital number, since it uses as much as digits as its factorization.

257980493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 257980493 is about 16061.7711663440. The cubic root of 257980493 is about 636.5936312640.

The spelling of 257980493 in words is "two hundred fifty-seven million, nine hundred eighty thousand, four hundred ninety-three".