257559044081 has 2 divisors, whose sum is σ = 257559044082. Its totient is φ = 257559044080.

The previous prime is 257559044077. The next prime is 257559044101. The reversal of 257559044081 is 180440955752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141135462400 + 116423581681 = 375680^2 + 341209^2 .

It is a cyclic number.

It is not a de Polignac number, because 257559044081 - 2² = 257559044077 is a prime.

It is a super-2 number, since 2×257559044081² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257559044381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128779522040 + 128779522041.

It is an arithmetic number, because the mean of its divisors is an integer number (128779522041).

Almost surely, 2^257559044081 is an apocalyptic number.

It is an amenable number.

257559044081 is a deficient number, since it is larger than the sum of its proper divisors (1).

257559044081 is an equidigital number, since it uses as much as digits as its factorization.

257559044081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016000, while the sum is 50.

The spelling of 257559044081 in words is "two hundred fifty-seven billion, five hundred fifty-nine million, forty-four thousand, eighty-one".