257386877045981 has 2 divisors, whose sum is σ = 257386877045982. Its totient is φ = 257386877045980.

The previous prime is 257386877045941. The next prime is 257386877046097. The reversal of 257386877045981 is 189540778683752.

It is a happy number.

257386877045981 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 can be written as a sum of positive squares in only one way, i.e., 222915828893956 + 34471048152025 = 14930366^2 + 5871205^2 .

It is a cyclic number.

It is not a de Polignac number, because 257386877045981 - 2²² = 257386872851677 is a prime.

It is a super-2 number, since 2×257386877045981² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257386877045896 and 257386877045905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257386877045941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128693438522990 + 128693438522991.

It is an arithmetic number, because the mean of its divisors is an integer number (128693438522991).

It is a 1-persistent number, because it is pandigital, but 2⋅257386877045981 = 514773754091962 is not.

Almost surely, 2^{257386877045981} is an apocalyptic number.

It is an amenable number.

257386877045981 is a deficient number, since it is larger than the sum of its proper divisors (1).

257386877045981 is an equidigital number, since it uses as much as digits as its factorization.

257386877045981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5689958400, while the sum is 80.

The spelling of 257386877045981 in words is "two hundred fifty-seven trillion, three hundred eighty-six billion, eight hundred seventy-seven million, forty-five thousand, nine hundred eighty-one".