213120253 has 2 divisors, whose sum is σ = 213120254. Its totient is φ = 213120252.

The previous prime is 213120247. The next prime is 213120269. The reversal of 213120253 is 352021312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183927844 + 29192409 = 13562^2 + 5403^2 .

It is a cyclic number.

It is not a de Polignac number, because 213120253 - 2¹³ = 213112061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213120253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213127253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106560126 + 106560127.

It is an arithmetic number, because the mean of its divisors is an integer number (106560127).

Almost surely, 2^213120253 is an apocalyptic number.

It is an amenable number.

213120253 is a deficient number, since it is larger than the sum of its proper divisors (1).

213120253 is an equidigital number, since it uses as much as digits as its factorization.

213120253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 213120253 is about 14598.6387379098. The cubic root of 213120253 is about 597.3216292668.

Adding to 213120253 its reverse (352021312), we get a palindrome (565141565).

The spelling of 213120253 in words is "two hundred thirteen million, one hundred twenty thousand, two hundred fifty-three".