257101069 has 2 divisors, whose sum is σ = 257101070. Its totient is φ = 257101068.

The previous prime is 257101003. The next prime is 257101079. The reversal of 257101069 is 960101752.

257101069 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186322500 + 70778569 = 13650^2 + 8413^2 .

It is a cyclic number.

It is not a de Polignac number, because 257101069 - 2¹⁷ = 256969997 is a prime.

It is a super-2 number, since 2×257101069² = 132201919361885522, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257101069.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257101079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128550534 + 128550535.

It is an arithmetic number, because the mean of its divisors is an integer number (128550535).

Almost surely, 2^257101069 is an apocalyptic number.

It is an amenable number.

257101069 is a deficient number, since it is larger than the sum of its proper divisors (1).

257101069 is an equidigital number, since it uses as much as digits as its factorization.

257101069 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 257101069 is about 16034.3714875264. The cubic root of 257101069 is about 635.8694511064.

The spelling of 257101069 in words is "two hundred fifty-seven million, one hundred one thousand, sixty-nine".