257066274821 has 2 divisors, whose sum is σ = 257066274822. Its totient is φ = 257066274820.

The previous prime is 257066274797. The next prime is 257066274853. The reversal of 257066274821 is 128472660752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129035416225 + 128030858596 = 359215^2 + 357814^2 .

It is a cyclic number.

It is not a de Polignac number, because 257066274821 - 2¹⁴ = 257066258437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257066274821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257066774821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128533137410 + 128533137411.

It is an arithmetic number, because the mean of its divisors is an integer number (128533137411).

Almost surely, 2^257066274821 is an apocalyptic number.

It is an amenable number.

257066274821 is a deficient number, since it is larger than the sum of its proper divisors (1).

257066274821 is an equidigital number, since it uses as much as digits as its factorization.

257066274821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 257066274821 in words is "two hundred fifty-seven billion, sixty-six million, two hundred seventy-four thousand, eight hundred twenty-one".