2829585257 has 2 divisors, whose sum is σ = 2829585258. Its totient is φ = 2829585256.

The previous prime is 2829585167. The next prime is 2829585263. The reversal of 2829585257 is 7525859282.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2783195536 + 46389721 = 52756^2 + 6811^2 .

It is a cyclic number.

It is not a de Polignac number, because 2829585257 - 2¹⁸ = 2829323113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2829585199 and 2829585208.

It is not a weakly prime, because it can be changed into another prime (2829555257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1414792628 + 1414792629.

It is an arithmetic number, because the mean of its divisors is an integer number (1414792629).

Almost surely, 2^2829585257 is an apocalyptic number.

It is an amenable number.

2829585257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2829585257 is an equidigital number, since it uses as much as digits as its factorization.

2829585257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032000, while the sum is 53.

The square root of 2829585257 is about 53193.8460444439. The cubic root of 2829585257 is about 1414.4065580764.

The spelling of 2829585257 in words is "two billion, eight hundred twenty-nine million, five hundred eighty-five thousand, two hundred fifty-seven".