405212315512005 has 48 divisors (see below), whose sum is σ = 717515404429824. Its totient is φ = 211455106859520.

The previous prime is 405212315512003. The next prime is 405212315512013. The reversal of 405212315512005 is 500215513212504.

405212315512005 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 123 + 15 + 512 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 405212315512005 - 2¹ = 405212315512003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405212315512001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19700836 + ... + 34620045.

It is an arithmetic number, because the mean of its divisors is an integer number (14948237592288).

Almost surely, 2^{405212315512005} is an apocalyptic number.

405212315512005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405212315512005 is a deficient number, since it is larger than the sum of its proper divisors (312303088917819).

405212315512005 is a wasteful number, since it uses less digits than its factorization.

405212315512005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54324466 (or 54324463 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 405212315512005 its reverse (500215513212504), we get a palindrome (905427828724509).

The spelling of 405212315512005 in words is "four hundred five trillion, two hundred twelve billion, three hundred fifteen million, five hundred twelve thousand, five".