212265013 has 2 divisors, whose sum is σ = 212265014. Its totient is φ = 212265012.

The previous prime is 212264989. The next prime is 212265037. The reversal of 212265013 is 310562212.

212265013 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 (212264989) and next prime (212265037).

It can be written as a sum of positive squares in only one way, i.e., 205721649 + 6543364 = 14343^2 + 2558^2 .

It is a cyclic number.

It is not a de Polignac number, because 212265013 - 2⁹ = 212264501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212265913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106132506 + 106132507.

It is an arithmetic number, because the mean of its divisors is an integer number (106132507).

Almost surely, 2^212265013 is an apocalyptic number.

It is an amenable number.

212265013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212265013 is an equidigital number, since it uses as much as digits as its factorization.

212265013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 212265013 is about 14569.3175200488. The cubic root of 212265013 is about 596.5215516693.

It can be divided in two parts, 212 and 265013, that added together give a square (265225 = 515²).

The spelling of 212265013 in words is "two hundred twelve million, two hundred sixty-five thousand, thirteen".