257753052517 has 2 divisors, whose sum is σ = 257753052518. Its totient is φ = 257753052516.

The previous prime is 257753052499. The next prime is 257753052551. The reversal of 257753052517 is 715250357752.

257753052517 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., 156985533796 + 100767518721 = 396214^2 + 317439^2 .

It is a cyclic number.

It is not a de Polignac number, because 257753052517 - 2¹⁵ = 257753019749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257753052617) 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, 128876526258 + 128876526259.

It is an arithmetic number, because the mean of its divisors is an integer number (128876526259).

Almost surely, 2^257753052517 is an apocalyptic number.

It is an amenable number.

257753052517 is a deficient number, since it is larger than the sum of its proper divisors (1).

257753052517 is an equidigital number, since it uses as much as digits as its factorization.

257753052517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2572500, while the sum is 49.

The spelling of 257753052517 in words is "two hundred fifty-seven billion, seven hundred fifty-three million, fifty-two thousand, five hundred seventeen".