2577245513 has 2 divisors, whose sum is σ = 2577245514. Its totient is φ = 2577245512.

The previous prime is 2577245483. The next prime is 2577245521. The reversal of 2577245513 is 3155427752.

2577245513 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., 2429306944 + 147938569 = 49288^2 + 12163^2 .

It is a cyclic number.

It is not a de Polignac number, because 2577245513 - 2⁶ = 2577245449 is a prime.

It is not a weakly prime, because it can be changed into another prime (2577245413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1288622756 + 1288622757.

It is an arithmetic number, because the mean of its divisors is an integer number (1288622757).

Almost surely, 2^2577245513 is an apocalyptic number.

It is an amenable number.

2577245513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2577245513 is an equidigital number, since it uses as much as digits as its factorization.

2577245513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 294000, while the sum is 41.

The square root of 2577245513 is about 50766.5787009525. The cubic root of 2577245513 is about 1371.0456990475.

The spelling of 2577245513 in words is "two billion, five hundred seventy-seven million, two hundred forty-five thousand, five hundred thirteen".