2577963253 has 2 divisors, whose sum is σ = 2577963254. Its totient is φ = 2577963252.

The previous prime is 2577963229. The next prime is 2577963259. The reversal of 2577963253 is 3523697752.

It is a happy number.

2577963253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2508707569 + 69255684 = 50087^2 + 8322^2 .

It is a cyclic number.

It is not a de Polignac number, because 2577963253 - 2⁹ = 2577962741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2577963197 and 2577963206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2577963259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1288981626 + 1288981627.

It is an arithmetic number, because the mean of its divisors is an integer number (1288981627).

Almost surely, 2^2577963253 is an apocalyptic number.

It is an amenable number.

2577963253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2577963253 is an equidigital number, since it uses as much as digits as its factorization.

2577963253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2381400, while the sum is 49.

The square root of 2577963253 is about 50773.6472296407. The cubic root of 2577963253 is about 1371.1729619204.

The spelling of 2577963253 in words is "two billion, five hundred seventy-seven million, nine hundred sixty-three thousand, two hundred fifty-three".