252509749 has 2 divisors, whose sum is σ = 252509750. Its totient is φ = 252509748.

The previous prime is 252509731. The next prime is 252509759. The reversal of 252509749 is 947905252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247590225 + 4919524 = 15735^2 + 2218^2 .

It is a cyclic number.

It is not a de Polignac number, because 252509749 - 2⁹ = 252509237 is a prime.

It is a super-2 number, since 2×252509749² = 127522346680086002, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252509759) 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, 126254874 + 126254875.

It is an arithmetic number, because the mean of its divisors is an integer number (126254875).

Almost surely, 2^252509749 is an apocalyptic number.

It is an amenable number.

252509749 is a deficient number, since it is larger than the sum of its proper divisors (1).

252509749 is an equidigital number, since it uses as much as digits as its factorization.

252509749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 252509749 is about 15890.5553395720. Note that the first 3 decimals coincide. The cubic root of 252509749 is about 632.0615668338.

The spelling of 252509749 in words is "two hundred fifty-two million, five hundred nine thousand, seven hundred forty-nine".