212013505 has 16 divisors (see below), whose sum is σ = 278619264. Its totient is φ = 153594880.

The previous prime is 212013497. The next prime is 212013509. The reversal of 212013505 is 505310212.

It is not a de Polignac number, because 212013505 - 2³ = 212013497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212013509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7137 + ... + 21793.

It is an arithmetic number, because the mean of its divisors is an integer number (17413704).

Almost surely, 2^212013505 is an apocalyptic number.

It is an amenable number.

212013505 is a deficient number, since it is larger than the sum of its proper divisors (66605759).

212013505 is a wasteful number, since it uses less digits than its factorization.

212013505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14936.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 212013505 is about 14560.6835347795. The cubic root of 212013505 is about 596.2858569356.

Adding to 212013505 its reverse (505310212), we get a palindrome (717323717).

It can be divided in two parts, 2120 and 13505, that added together give a 6-th power (15625 = 5⁶).

The spelling of 212013505 in words is "two hundred twelve million, thirteen thousand, five hundred five".