257171554022039 has 2 divisors, whose sum is σ = 257171554022040. Its totient is φ = 257171554022038.

The previous prime is 257171554021939. The next prime is 257171554022057. The reversal of 257171554022039 is 930220455171752.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257171554022039 - 2⁴⁰ = 256072042394263 is a prime.

It is a super-2 number, since 2×257171554022039² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257171554622039) 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, 128585777011019 + 128585777011020.

It is an arithmetic number, because the mean of its divisors is an integer number (128585777011020).

Almost surely, 2^{257171554022039} is an apocalyptic number.

257171554022039 is a deficient number, since it is larger than the sum of its proper divisors (1).

257171554022039 is an equidigital number, since it uses as much as digits as its factorization.

257171554022039 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292000, while the sum is 53.

The spelling of 257171554022039 in words is "two hundred fifty-seven trillion, one hundred seventy-one billion, five hundred fifty-four million, twenty-two thousand, thirty-nine".