212513201 has 2 divisors, whose sum is σ = 212513202. Its totient is φ = 212513200.

The previous prime is 212513183. The next prime is 212513219. The reversal of 212513201 is 102315212.

It is a happy number.

212513201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (212513183) and next prime (212513219).

It can be written as a sum of positive squares in only one way, i.e., 194881600 + 17631601 = 13960^2 + 4199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212513201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212513201.

It is not a weakly prime, because it can be changed into another prime (212513101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106256600 + 106256601.

It is an arithmetic number, because the mean of its divisors is an integer number (106256601).

Almost surely, 2^212513201 is an apocalyptic number.

It is an amenable number.

212513201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212513201 is an equidigital number, since it uses as much as digits as its factorization.

212513201 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 212513201 is about 14577.8325206459. The cubic root of 212513201 is about 596.7539527051.

Adding to 212513201 its reverse (102315212), we get a palindrome (314828413).

The spelling of 212513201 in words is "two hundred twelve million, five hundred thirteen thousand, two hundred one".