2557385894257 has 2 divisors, whose sum is σ = 2557385894258. Its totient is φ = 2557385894256.

The previous prime is 2557385894221. The next prime is 2557385894387. The reversal of 2557385894257 is 7524985837552.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1736533586176 + 820852308081 = 1317776^2 + 906009^2 .

It is a cyclic number.

It is not a de Polignac number, because 2557385894257 - 2¹⁹ = 2557385369969 is a prime.

It is a super-4 number, since 4×2557385894257⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2557385894857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1278692947128 + 1278692947129.

It is an arithmetic number, because the mean of its divisors is an integer number (1278692947129).

Almost surely, 2^{2557385894257} is an apocalyptic number.

It is an amenable number.

2557385894257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2557385894257 is an equidigital number, since it uses as much as digits as its factorization.

2557385894257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 846720000, while the sum is 70.

The spelling of 2557385894257 in words is "two trillion, five hundred fifty-seven billion, three hundred eighty-five million, eight hundred ninety-four thousand, two hundred fifty-seven".