257676509 has 2 divisors, whose sum is σ = 257676510. Its totient is φ = 257676508.

The previous prime is 257676493. The next prime is 257676527. The reversal of 257676509 is 905676752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169260100 + 88416409 = 13010^2 + 9403^2 .

It is a cyclic number.

It is not a de Polignac number, because 257676509 - 2⁴ = 257676493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257676539) 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, 128838254 + 128838255.

It is an arithmetic number, because the mean of its divisors is an integer number (128838255).

Almost surely, 2^257676509 is an apocalyptic number.

It is an amenable number.

257676509 is a deficient number, since it is larger than the sum of its proper divisors (1).

257676509 is an equidigital number, since it uses as much as digits as its factorization.

257676509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 793800, while the sum is 47.

The square root of 257676509 is about 16052.3054107502. The cubic root of 257676509 is about 636.3434956390.

The spelling of 257676509 in words is "two hundred fifty-seven million, six hundred seventy-six thousand, five hundred nine".