257420753 has 2 divisors, whose sum is σ = 257420754. Its totient is φ = 257420752.

The previous prime is 257420743. The next prime is 257420771. The reversal of 257420753 is 357024752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 173001409 + 84419344 = 13153^2 + 9188^2 .

It is a cyclic number.

It is not a de Polignac number, because 257420753 - 2⁶ = 257420689 is a prime.

It is a super-3 number, since 3×257420753³ (a number of 26 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (257420743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128710376 + 128710377.

It is an arithmetic number, because the mean of its divisors is an integer number (128710377).

Almost surely, 2^257420753 is an apocalyptic number.

It is an amenable number.

257420753 is a deficient number, since it is larger than the sum of its proper divisors (1).

257420753 is an equidigital number, since it uses as much as digits as its factorization.

257420753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58800, while the sum is 35.

The square root of 257420753 is about 16044.3371006720. The cubic root of 257420753 is about 636.1328923744.

The spelling of 257420753 in words is "two hundred fifty-seven million, four hundred twenty thousand, seven hundred fifty-three".