257057063261047 has 16 divisors (see below), whose sum is σ = 301572002786560. Its totient is φ = 214522990823232.

The previous prime is 257057063261039. The next prime is 257057063261071. The reversal of 257057063261047 is 740162360750752.

It is not a de Polignac number, because 257057063261047 - 2³ = 257057063261039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257057063261027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1364139297 + ... + 1364327722.

It is an arithmetic number, because the mean of its divisors is an integer number (18848250174160).

Almost surely, 2^{257057063261047} is an apocalyptic number.

257057063261047 is a deficient number, since it is larger than the sum of its proper divisors (44514939525513).

257057063261047 is a wasteful number, since it uses less digits than its factorization.

257057063261047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728467382.

The product of its (nonzero) digits is 14817600, while the sum is 55.

The spelling of 257057063261047 in words is "two hundred fifty-seven trillion, fifty-seven billion, sixty-three million, two hundred sixty-one thousand, forty-seven".