257046062607377 has 2 divisors, whose sum is σ = 257046062607378. Its totient is φ = 257046062607376.

The previous prime is 257046062607319. The next prime is 257046062607413. The reversal of 257046062607377 is 773706260640752.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196520136622096 + 60525925985281 = 14018564^2 + 7779841^2 .

It is a cyclic number.

It is not a de Polignac number, because 257046062607377 - 2¹⁰ = 257046062606353 is a prime.

It is not a weakly prime, because it can be changed into another prime (257046062607307) 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, 128523031303688 + 128523031303689.

It is an arithmetic number, because the mean of its divisors is an integer number (128523031303689).

Almost surely, 2^{257046062607377} is an apocalyptic number.

It is an amenable number.

257046062607377 is a deficient number, since it is larger than the sum of its proper divisors (1).

257046062607377 is an equidigital number, since it uses as much as digits as its factorization.

257046062607377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124467840, while the sum is 62.

The spelling of 257046062607377 in words is "two hundred fifty-seven trillion, forty-six billion, sixty-two million, six hundred seven thousand, three hundred seventy-seven".