2557742801 has 2 divisors, whose sum is σ = 2557742802. Its totient is φ = 2557742800.

The previous prime is 2557742777. The next prime is 2557742819. The reversal of 2557742801 is 1082477552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2536129600 + 21613201 = 50360^2 + 4649^2 .

It is a cyclic number.

It is not a de Polignac number, because 2557742801 - 2³⁰ = 1484000977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2557742861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1278871400 + 1278871401.

It is an arithmetic number, because the mean of its divisors is an integer number (1278871401).

Almost surely, 2^2557742801 is an apocalyptic number.

It is an amenable number.

2557742801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2557742801 is an equidigital number, since it uses as much as digits as its factorization.

2557742801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 156800, while the sum is 41.

The square root of 2557742801 is about 50574.1317374802. The cubic root of 2557742801 is about 1367.5785811998.

The spelling of 2557742801 in words is "two billion, five hundred fifty-seven million, seven hundred forty-two thousand, eight hundred one".