257312610470711 has 2 divisors, whose sum is σ = 257312610470712. Its totient is φ = 257312610470710.

The previous prime is 257312610470701. The next prime is 257312610470761. The reversal of 257312610470711 is 117074016213752.

257312610470711 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 is a cyclic number.

It is not a de Polignac number, because 257312610470711 - 2⁶ = 257312610470647 is a prime.

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 (257312610470701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128656305235355 + 128656305235356.

It is an arithmetic number, because the mean of its divisors is an integer number (128656305235356).

Almost surely, 2^{257312610470711} is an apocalyptic number.

257312610470711 is a deficient number, since it is larger than the sum of its proper divisors (1).

257312610470711 is an equidigital number, since it uses as much as digits as its factorization.

257312610470711 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 493920, while the sum is 47.

The spelling of 257312610470711 in words is "two hundred fifty-seven trillion, three hundred twelve billion, six hundred ten million, four hundred seventy thousand, seven hundred eleven".