257793814753 has 2 divisors, whose sum is σ = 257793814754. Its totient is φ = 257793814752.

The previous prime is 257793814727. The next prime is 257793814783. The reversal of 257793814753 is 357418397752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168934974289 + 88858840464 = 411017^2 + 298092^2 .

It is a cyclic number.

It is not a de Polignac number, because 257793814753 - 2²⁹ = 257256943841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257793814691 and 257793814700.

It is not a weakly prime, because it can be changed into another prime (257793814783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128896907376 + 128896907377.

It is an arithmetic number, because the mean of its divisors is an integer number (128896907377).

Almost surely, 2^257793814753 is an apocalyptic number.

It is an amenable number.

257793814753 is a deficient number, since it is larger than the sum of its proper divisors (1).

257793814753 is an equidigital number, since it uses as much as digits as its factorization.

257793814753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 44452800, while the sum is 61.

The spelling of 257793814753 in words is "two hundred fifty-seven billion, seven hundred ninety-three million, eight hundred fourteen thousand, seven hundred fifty-three".