2409805253 has 2 divisors, whose sum is σ = 2409805254. Its totient is φ = 2409805252.

The previous prime is 2409805133. The next prime is 2409805271. The reversal of 2409805253 is 3525089042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1876795684 + 533009569 = 43322^2 + 23087^2 .

It is a cyclic number.

It is not a de Polignac number, because 2409805253 - 2¹⁴ = 2409788869 is a prime.

It is a super-2 number, since 2×2409805253² = 11614322714772788018, 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 (2409805273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1204902626 + 1204902627.

It is an arithmetic number, because the mean of its divisors is an integer number (1204902627).

Almost surely, 2^2409805253 is an apocalyptic number.

It is an amenable number.

2409805253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2409805253 is an equidigital number, since it uses as much as digits as its factorization.

2409805253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 2409805253 is about 49089.7672942132. The cubic root of 2409805253 is about 1340.6867447780.

The spelling of 2409805253 in words is "two billion, four hundred nine million, eight hundred five thousand, two hundred fifty-three".