2557696129 has 2 divisors, whose sum is σ = 2557696130. Its totient is φ = 2557696128.

The previous prime is 2557696073. The next prime is 2557696133. The reversal of 2557696129 is 9216967552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2049644529 + 508051600 = 45273^2 + 22540^2 .

It is a cyclic number.

It is not a de Polignac number, because 2557696129 - 2²³ = 2549307521 is a prime.

It is not a weakly prime, because it can be changed into another prime (2557696139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1278848064 + 1278848065.

It is an arithmetic number, because the mean of its divisors is an integer number (1278848065).

Almost surely, 2^2557696129 is an apocalyptic number.

It is an amenable number.

2557696129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2557696129 is an equidigital number, since it uses as much as digits as its factorization.

2557696129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2041200, while the sum is 52.

The square root of 2557696129 is about 50573.6703137117. The cubic root of 2557696129 is about 1367.5702629259.

The spelling of 2557696129 in words is "two billion, five hundred fifty-seven million, six hundred ninety-six thousand, one hundred twenty-nine".