2577828313 has 2 divisors, whose sum is σ = 2577828314. Its totient is φ = 2577828312.

The previous prime is 2577828263. The next prime is 2577828377. The reversal of 2577828313 is 3138287752.

2577828313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2468897344 + 108930969 = 49688^2 + 10437^2 .

It is a cyclic number.

It is not a de Polignac number, because 2577828313 - 2⁹ = 2577827801 is a prime.

It is a super-2 number, since 2×2577828313² = 13290397622608851938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2577828013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1288914156 + 1288914157.

It is an arithmetic number, because the mean of its divisors is an integer number (1288914157).

Almost surely, 2^2577828313 is an apocalyptic number.

It is an amenable number.

2577828313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2577828313 is an equidigital number, since it uses as much as digits as its factorization.

2577828313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 564480, while the sum is 46.

The square root of 2577828313 is about 50772.3183733026. The cubic root of 2577828313 is about 1371.1490374382.

The spelling of 2577828313 in words is "two billion, five hundred seventy-seven million, eight hundred twenty-eight thousand, three hundred thirteen".