252100213 has 2 divisors, whose sum is σ = 252100214. Its totient is φ = 252100212.

The previous prime is 252100117. The next prime is 252100223. The reversal of 252100213 is 312001252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248440644 + 3659569 = 15762^2 + 1913^2 .

It is a cyclic number.

It is not a de Polignac number, because 252100213 - 2¹³ = 252092021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252100223) 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, 126050106 + 126050107.

It is an arithmetic number, because the mean of its divisors is an integer number (126050107).

Almost surely, 2^252100213 is an apocalyptic number.

It is an amenable number.

252100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

252100213 is an equidigital number, since it uses as much as digits as its factorization.

252100213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 252100213 is about 15877.6639654579. The cubic root of 252100213 is about 631.7196763605.

Adding to 252100213 its reverse (312001252), we get a palindrome (564101465).

The spelling of 252100213 in words is "two hundred fifty-two million, one hundred thousand, two hundred thirteen".