2105257601 has 2 divisors, whose sum is σ = 2105257602. Its totient is φ = 2105257600.

The previous prime is 2105257579. The next prime is 2105257603. The reversal of 2105257601 is 1067525012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2079451201 + 25806400 = 45601^2 + 5080^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105257601 - 2¹⁸ = 2104995457 is a prime.

It is a Sophie Germain prime.

Together with 2105257603, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2105257603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052628800 + 1052628801.

It is an arithmetic number, because the mean of its divisors is an integer number (1052628801).

Almost surely, 2^2105257601 is an apocalyptic number.

It is an amenable number.

2105257601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105257601 is an equidigital number, since it uses as much as digits as its factorization.

2105257601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 2105257601 is about 45883.0862192159. The cubic root of 2105257601 is about 1281.6469686910.

The spelling of 2105257601 in words is "two billion, one hundred five million, two hundred fifty-seven thousand, six hundred one".