252905813 has 2 divisors, whose sum is σ = 252905814. Its totient is φ = 252905812.

The previous prime is 252905749. The next prime is 252905819. The reversal of 252905813 is 318509252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177875569 + 75030244 = 13337^2 + 8662^2 .

It is a cyclic number.

It is not a de Polignac number, because 252905813 - 2⁶ = 252905749 is a prime.

It is a super-2 number, since 2×252905813² = 127922700498381938, 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 (252905819) 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, 126452906 + 126452907.

It is an arithmetic number, because the mean of its divisors is an integer number (126452907).

Almost surely, 2^252905813 is an apocalyptic number.

It is an amenable number.

252905813 is a deficient number, since it is larger than the sum of its proper divisors (1).

252905813 is an equidigital number, since it uses as much as digits as its factorization.

252905813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 252905813 is about 15903.0127020008. The cubic root of 252905813 is about 632.3918591123.

The spelling of 252905813 in words is "two hundred fifty-two million, nine hundred five thousand, eight hundred thirteen".