2585053829 has 2 divisors, whose sum is σ = 2585053830. Its totient is φ = 2585053828.

The previous prime is 2585053811. The next prime is 2585053843. The reversal of 2585053829 is 9283505852.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2282641729 + 302412100 = 47777^2 + 17390^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585053829 - 2⁸ = 2585053573 is a prime.

It is a super-2 number, since 2×2585053829² = 13365006597655122482, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2585053859) 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, 1292526914 + 1292526915.

It is an arithmetic number, because the mean of its divisors is an integer number (1292526915).

Almost surely, 2^2585053829 is an apocalyptic number.

It is an amenable number.

2585053829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585053829 is an equidigital number, since it uses as much as digits as its factorization.

2585053829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864000, while the sum is 47.

The square root of 2585053829 is about 50843.4246387869. The cubic root of 2585053829 is about 1372.4289283627.

The spelling of 2585053829 in words is "two billion, five hundred eighty-five million, fifty-three thousand, eight hundred twenty-nine".