2538905777 has 2 divisors, whose sum is σ = 2538905778. Its totient is φ = 2538905776.

The previous prime is 2538905753. The next prime is 2538905791. The reversal of 2538905777 is 7775098352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1903664161 + 635241616 = 43631^2 + 25204^2 .

It is a cyclic number.

It is not a de Polignac number, because 2538905777 - 2²⁴ = 2522128561 is a prime.

It is not a weakly prime, because it can be changed into another prime (2538901777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1269452888 + 1269452889.

It is an arithmetic number, because the mean of its divisors is an integer number (1269452889).

Almost surely, 2^2538905777 is an apocalyptic number.

It is an amenable number.

2538905777 is a deficient number, since it is larger than the sum of its proper divisors (1).

2538905777 is an equidigital number, since it uses as much as digits as its factorization.

2538905777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3704400, while the sum is 53.

The square root of 2538905777 is about 50387.5557752110. Note that the first 3 decimals coincide. The cubic root of 2538905777 is about 1364.2130341015.

The spelling of 2538905777 in words is "two billion, five hundred thirty-eight million, nine hundred five thousand, seven hundred seventy-seven".