212513 has 6 divisors (see below), whose sum is σ = 247266. Its totient is φ = 182112.

The previous prime is 212507. The next prime is 212557. The reversal of 212513 is 315212.

It is a happy number.

212513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 117649 + 94864 = 343^2 + 308^2 .

It is not a de Polignac number, because 212513 - 2¹⁶ = 146977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212573) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2120 + ... + 2217.

It is an arithmetic number, because the mean of its divisors is an integer number (41211).

2²¹²⁵¹³ is an apocalyptic number.

It is an amenable number.

212513 is a deficient number, since it is larger than the sum of its proper divisors (34753).

212513 is an equidigital number, since it uses as much as digits as its factorization.

212513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4344 counting only the distinct ones).

The product of its digits is 60, while the sum is 14.

The square root of 212513 is about 460.9913231288. The cubic root of 212513 is about 59.6753764564.

Adding to 212513 its reverse (315212), we get a palindrome (527725).

The spelling of 212513 in words is "two hundred twelve thousand, five hundred thirteen".