257516011 has 2 divisors, whose sum is σ = 257516012. Its totient is φ = 257516010.

The previous prime is 257516009. The next prime is 257516033. The reversal of 257516011 is 110615752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257516011 - 2¹ = 257516009 is a prime.

It is a super-3 number, since 3×257516011³ (a number of 26 digits) contains 333 as substring.

Together with 257516009, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (257516081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128758005 + 128758006.

It is an arithmetic number, because the mean of its divisors is an integer number (128758006).

Almost surely, 2^257516011 is an apocalyptic number.

257516011 is a deficient number, since it is larger than the sum of its proper divisors (1).

257516011 is an equidigital number, since it uses as much as digits as its factorization.

257516011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 257516011 is about 16047.3054124361. The cubic root of 257516011 is about 636.2113492371.

The spelling of 257516011 in words is "two hundred fifty-seven million, five hundred sixteen thousand, eleven".