257613817567 has 2 divisors, whose sum is σ = 257613817568. Its totient is φ = 257613817566.

The previous prime is 257613817553. The next prime is 257613817579. The reversal of 257613817567 is 765718316752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257613817567 - 2³⁵ = 223254079199 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257613817067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128806908783 + 128806908784.

It is an arithmetic number, because the mean of its divisors is an integer number (128806908784).

Almost surely, 2^257613817567 is an apocalyptic number.

257613817567 is a deficient number, since it is larger than the sum of its proper divisors (1).

257613817567 is an equidigital number, since it uses as much as digits as its factorization.

257613817567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14817600, while the sum is 58.

The spelling of 257613817567 in words is "two hundred fifty-seven billion, six hundred thirteen million, eight hundred seventeen thousand, five hundred sixty-seven".