212005606500501 has 16 divisors (see below), whose sum is σ = 308372827091520. Its totient is φ = 128487814773120.

The previous prime is 212005606500491. The next prime is 212005606500557. The reversal of 212005606500501 is 105005606500212.

It is not a de Polignac number, because 212005606500501 - 2⁶ = 212005606500437 is a prime.

It is a super-5 number, since 5×212005606500501⁵ (a number of 73 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212005606520501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675016 + ... + 20602593.

It is an arithmetic number, because the mean of its divisors is an integer number (19273301693220).

Almost surely, 2^{212005606500501} is an apocalyptic number.

It is an amenable number.

212005606500501 is a deficient number, since it is larger than the sum of its proper divisors (96367220591019).

212005606500501 is a wasteful number, since it uses less digits than its factorization.

212005606500501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21579556.

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 212005606500501 in words is "two hundred twelve trillion, five billion, six hundred six million, five hundred thousand, five hundred one".