257306044321 has 2 divisors, whose sum is σ = 257306044322. Its totient is φ = 257306044320.

The previous prime is 257306044267. The next prime is 257306044363. The reversal of 257306044321 is 123440603752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171184925025 + 86121119296 = 413745^2 + 293464^2 .

It is a cyclic number.

It is not a de Polignac number, because 257306044321 - 2¹³ = 257306036129 is a prime.

It is not a weakly prime, because it can be changed into another prime (257306044381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128653022160 + 128653022161.

It is an arithmetic number, because the mean of its divisors is an integer number (128653022161).

Almost surely, 2^257306044321 is an apocalyptic number.

It is an amenable number.

257306044321 is a deficient number, since it is larger than the sum of its proper divisors (1).

257306044321 is an equidigital number, since it uses as much as digits as its factorization.

257306044321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 257306044321 in words is "two hundred fifty-seven billion, three hundred six million, forty-four thousand, three hundred twenty-one".