257040636232673 has 12 divisors (see below), whose sum is σ = 265358245684560. Its totient is φ = 248967241746720.

The previous prime is 257040636232663. The next prime is 257040636232727. The reversal of 257040636232673 is 376232636040752.

It is not a de Polignac number, because 257040636232673 - 2¹⁶ = 257040636167137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257040636232663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549800015 + ... + 550267332.

It is an arithmetic number, because the mean of its divisors is an integer number (22113187140380).

Almost surely, 2^{257040636232673} is an apocalyptic number.

It is an amenable number.

257040636232673 is a deficient number, since it is larger than the sum of its proper divisors (8317609451887).

257040636232673 is a wasteful number, since it uses less digits than its factorization.

257040636232673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100067568 (or 1100067527 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 56.

The spelling of 257040636232673 in words is "two hundred fifty-seven trillion, forty billion, six hundred thirty-six million, two hundred thirty-two thousand, six hundred seventy-three".