257271400249 has 2 divisors, whose sum is σ = 257271400250. Its totient is φ = 257271400248.

The previous prime is 257271400231. The next prime is 257271400259. The reversal of 257271400249 is 942004172752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200665473849 + 56605926400 = 447957^2 + 237920^2 .

It is a cyclic number.

It is not a de Polignac number, because 257271400249 - 2¹³ = 257271392057 is a prime.

It is not a weakly prime, because it can be changed into another prime (257271400229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128635700124 + 128635700125.

It is an arithmetic number, because the mean of its divisors is an integer number (128635700125).

Almost surely, 2^257271400249 is an apocalyptic number.

It is an amenable number.

257271400249 is a deficient number, since it is larger than the sum of its proper divisors (1).

257271400249 is an equidigital number, since it uses as much as digits as its factorization.

257271400249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 257271400249 in words is "two hundred fifty-seven billion, two hundred seventy-one million, four hundred thousand, two hundred forty-nine".