252211013 has 2 divisors, whose sum is σ = 252211014. Its totient is φ = 252211012.

The previous prime is 252210989. The next prime is 252211019. The reversal of 252211013 is 310112252.

It is a happy number.

252211013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234763684 + 17447329 = 15322^2 + 4177^2 .

It is a cyclic number.

It is not a de Polignac number, because 252211013 - 2¹⁴ = 252194629 is a prime.

It is a super-2 number, since 2×252211013² = 127220790156972338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252210982 and 252211000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252211019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126105506 + 126105507.

It is an arithmetic number, because the mean of its divisors is an integer number (126105507).

Almost surely, 2^252211013 is an apocalyptic number.

It is an amenable number.

252211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

252211013 is an equidigital number, since it uses as much as digits as its factorization.

252211013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 252211013 is about 15881.1527604264. The cubic root of 252211013 is about 631.8122113719.

Adding to 252211013 its reverse (310112252), we get a palindrome (562323265).

The spelling of 252211013 in words is "two hundred fifty-two million, two hundred eleven thousand, thirteen".